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Questions related to Statistical Data Analysis
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How can design of experiments optimize reaction conditions in catalytic processes using statistical data analysis?
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Design of Experiments (DoE) optimizes catalytic reaction conditions by systematically varying multiple factors and analyzing their effects using statistical tools. Techniques like factorial designs, response surface methodology, and ANOVA reveal critical parameters, their interactions, and the optimal combination for maximum yield and selectivity. This approach minimizes trial-and-error experimentation, enhances reproducibility, and provides a data-driven framework for efficient, predictive process optimization in catalysis.
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Great Job
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Why is it important to carry out statistical data analysis of signal - to - Noise Ratio in an MRI and CT scans?
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The Statistical Data Analysis of Signal-to-Noise Ratio (SNR) in Magnetic Resonance Imaging (MRI) and Computed Tomography (CT) scans is a crucial approach to evaluate the quality and reliability of medical images. SNR is defined as the ratio of the meaningful signal that represents actual body tissues to the background noise that can distort image interpretation. A higher SNR indicates clearer and sharper images, enabling clinicians to detect and diagnose abnormalities with greater accuracy. Poor SNR can lead to blurry or grainy images, increasing the risk of misdiagnosis or the need for repeat scans, which is undesirable both in terms of patient safety and healthcare costs.
Statistical data analysis involves applying quantitative techniques such as mean, standard deviation (SD), variance, and confidence intervals (CI) to assess and compare SNR values under various imaging conditions. In MRI, adjusting pulse sequences, repetition time (TR), and echo time (TE) can influence SNR, while in CT, changes in tube current (measured in milliamperes, mA), voltage (kilovoltage peak, kVp), and slice thickness affect image quality. Statistical analysis helps in determining the optimal parameters that provide the best SNR while minimizing risks like radiation exposure in CT or prolonged scan times in MRI.
Furthermore, SNR analysis is integral to quality control (QC) and quality assurance (QA) in diagnostic imaging. By consistently monitoring SNR, healthcare facilities can ensure that their imaging devices are operating at peak performance, maintaining consistency across patient scans and over time. This is particularly important in longitudinal studies or follow-up imaging, where consistency in image quality is essential for accurate comparisons.
In the realm of research and development (R&D), analyzing SNR statistically aids in the advancement of new imaging technologies, including improved contrast agents, noise-reduction algorithms, and artificial intelligence (AI)-driven image reconstruction techniques. Overall, the statistical data analysis of SNR in MRI and CT is vital for achieving high-quality imaging, ensuring patient safety, enhancing diagnostic accuracy, and driving innovation in medical imaging.
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I am conducting an umbrella review, a review of systematic reviews and meta-analyses, where we pool relevant outcomes from distinct meta-analyses.
The problem is that I do not know which software can do this type of analysis!
I appreciate your help with this issue.
Regards, Ammar.
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Metaumbrella for R
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For example in the field of Engineering, Medicine, Psychology, Business etc...
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Statistical data analysis is crucial in scientific research because it helps to interpret data accurately, identify trends, test hypotheses, and draw reliable conclusions. It ensures that results are valid, reproducible, and free from bias, providing evidence for decision-making and further research.
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I have done different treatments on different samples for some time, and I have collected data from different analyses, if I want to perform ANOVA, which ANOVA to choose and how to index it in graph
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One-Way ANOVA
1. Go to Statistics > ANOVA > One-Way ANOVA.
2. Select columns for dependent and independent variables.
3. Set parameters (e.g., confidence level), then click OK.
Two-Way ANOVA
1. Go to Statistics > ANOVA > Two-Way ANOVA.
2. Choose columns for two independent variables.
3. Adjust settings, then click OK.
Plotting and Labeling
1. Select data and go to Plot to choose a chart type.
2. Right-click on the plot to Add Data Labels and customize as needed.
3. Use Legend or Indexing Options to index the data on the graph.
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Some of my students are dealing with Financial Literacy, Quality of Life, DASS-21 and CES-D. I have seen that most papers present descriptive, basic comparison, correlation, GEE and SEM.
Focusing on implementation of survey response scale (4/5/7/10 Likert), what tool would you recommend for the analysis ? (statistical data analysis, machine learning, optimisation, metaheuristic, etc.)
Thank you for your suggestions 🙏
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Onipe Adabenege Yahaya
This is a rather pointless reply from ChatGPT or its equivalent. Why are you taking credit for it?
Regardless of what the AI says, I think you should look at the kind of analyses that are used most often in your field and match that. If you can't find anything, then I would recommend a statistical analysis using SEM because you have so many scale variables.
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I would like to hire a statistician to analyze epidemiological data: calculate odds ratios, chi-squares, perform regressions and advise on whether there are other analyses that can be done with the data. Can you recommend someone?
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Liverpool School of Tropical Medicine , Global Health Trials Unit can offer this service
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We usually use Excel in our lab to analyse data, but I would like to take a course on a more sophisticated tool. Can you share which one is most common in molecular biology?
Thank you :)
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Claudia, I understand your question very well,
there are several tools for data analysis, among which some for those who have no notion of programming are JASP, JAMOVI (I prefer the latter). and that also depend on the amount of data with which you work. Big data Phyton or R studio Server, low scale data quantity without doubt R.
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I came across a commentary titled, 'Tests of Statistical Significance – their (ab)use in the social sciences' and it made me reflect on the validity of using my sample for statistical testing. I have a sample of 24 banks and they were not randomly selected. They were the top 50 banks ranked by the Banker and I narrowed down the sample to 24 because only those banks were usable for my study. I wanted to test the association between these banks using a McNemar's test but any result I obtain- I obtained insignificant results - would be meaningless, right? Because they are not a random selection. I did not want to make a generalisation, but I wanted to know if I could still comment on the insignificance of their association?
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A new book worth of our serious attention: The Myth of Statistical Inference (2021 by Michael C. Acree)
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I have some data-sets causing me and my limited statistical knowledge problems.
When handling qPCR values or quantifications of WB, you always "normalise" your values to a endogenous control / loading control i.e. a house-keeping gene. And then afterwards often to a control treatment as well.
However, this means the data is now fold change compared to a control. So all values less than control is between 0 and 1, and all values higher than the control is 1 to infinite. This heavily skews the data. To my understanding a parametric test like a simple t-test or ANOVA cannot be used, as it will it would handle fold change values 0.1 (A) and 1.9 (B) as absolute values, being equally apart from 1 (C), even though A is actually ten times less than C, while B is only 1.9 more than C.
I have a dataset from three replicate experiments, where I have transfected with either control siRNA or 3 other siRNAs (1-3) (4 samples). 
I have subjected each replicate experiment to WB one at a time. In the WB I have blotted for 3 different proteins and a loading control (4 proteins). Afterwards I have quantified the WBs. 
I.e 3 biological replicates, with 4 treatments, having 4 readouts (normalised to the same loading control).
In Prism, I have done two-way ANOVA on the values normalised to loading control, where I compared each treatment to the control treatment, using Bonferroni correction. 
I have tried to do the test on both log transformed values and not log transformed data. I would guess it would be most appropriate to do the test on the transformed data.
However, the treatment with siRNA 3 results in small increases of some of the proteins with little variation between experiments, while another siRNA 1 results in decreased values but with big variation. When I do the ANOVA test on non log-transformed values the treatment with siRNA 3 is significant for these proteins, which seems right looking at the values and CI for both log-transformed and not transformed data. But when I do the ANOVA test on the log-transformed data it is no longer significant, while treatment with siRNA 1 (which had high variation), suddenly becomes much more significant. This does not seem right to me. 
So my questions is should you always log-transform qPCR and WB data (fold change data) before doing a statiscal test? Or is their some problems in transforming your data, that will result in e.g. false negatives?
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Rania Nassar, look at this paper for data analysis of qPCR: Taylor, S. C., et al. (2019). "The Ultimate qPCR Experiment: Producing Publication Quality, Reproducible Data the First Time." Trends in Biotechnology 37(7): 761-774. PMID: 30654913.
I think you could find most of the answer to your questions.
- It is clearly mentioned to use linear data for statistical test.
- In figure 5 in the table (the calculation is a little confusing in my opinion, but you obtain the same results as original ddCT formula of Livak 2001) you can find how to correctly calculate the ddCT method. The control group should not be all 1, 1, 1 etc... each control is normalized on control average to obtain a distribution also in the control group. They same concept was already described also in Livak 2001 too.
- Figure 5b shows how to represent the data. However, I think it is better to use a log scale on the y-axis because FC data are symmetrical around 1. Using a linear scale will compress the data between 1 and 0.
"qPCR is more complex than perceived by many scientist" (Taylor, et al. 2019)
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somon four group design is an experimental design contains
(a) a treatment group that receives both a pretest and a posttest
(b) a treatment group that receives a posttest only
(c) a control group that receives both a pretest and a posttest
(d) a control group that receives a posttest only.
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Hi Eddie Seva See, can you provide precise references for your theory? I have not found this kind of approach in any literature.
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Given a time series with Events, I want to test whether events in two time series are occurring differently. 
See for example the attached image. There are 12 events (orange) between 2000 and 2007 with different lengths. Let's pretend this are drought periods in countries or a any kind of event that can last for a certain time and there can be multiple events overlapping (my actual dataset are returns and the events are some kind of patterns).
I can simulate data to generate events. For example I can simulate a weather dataset and if certain conditions are met it is an event that will last for some time (e.g. no clouds = no rain). Thus, I can generate as many datasets (under H0) like I want. 
I want to check if there is any kind of "systematic occurrence" or if there is the same amount and distribution of events in the simulated datasets and actual dataset. 
I could use a simple t-Test and test the average number of events from the simulated datasets against the actual one. But his would not account for the problem, that the amount of events could be the same - but the events could be clustered (e.g. the twelve events in the actual dataset are always at the beginning).
Does anyone knows any similar problem with a solution or any kind of test for this kind of problem?
My only idea is to split the tests:
(1) Test for the number of occurrences 
(2) Somehow test if the structure is different
Thanks,
Nico
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Dear scholars,
I have a database with 100 geolocated samples in a given area, each sample contains 38 chemical elements that were quantified.
Some of these samples contain values Below the Detection Level of the instrument (BDL), clearly, when we have 100% of the samples with BDL values there is not much to do, but what can be done when, for example, when there is only 20% BDL, what do we do with them, with what value do we replace a BDL sample?
Some papers show that a BDL sample can be replaced by the detection level (for the instrument's minimum detection level for that chemical element) divided by 0.25, others show that you have to divide it by 0.5... What would you do in each case, and is there any literature you would recommend? If it matters, I am mostly interested in Copper and Arsenic.
Regards
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What fraction of values below BDL is acceptable.
Why are you making the measurements? The why determines what is acceptable.
If you are concerned about an upper limit, then BDLs are of no concern.
If you are concerned about a lower limit, it will depend upon the nature of your concern.
There is no recommendation. There is no rule of thumb.
You decide from the criteria associated with WHY if you have enough information.
Too many BDLs might mean you need a different technique, but it always returns to WHY.
If , say, a customer wants an answer at each location, use the actual result and note the uncertainty. The result is usually meaningless, because of the high uncertainty.
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Dear scholars,
I have a database with 100 geolocated samples in a given area, each sample contains 38 chemical elements that were quantified.
Some of these samples contain values Below the Detection Level of the instrument (BDL), clearly, when we have 100% of the samples with BDL values there is not much to do, but what can be done when, for example, when there is only 20% BDL, what do we do with them, with what value do we replace a BDL sample?
Some papers show that a BDL sample can be replaced by the detection level (for the instrument's minimum detection level for that chemical element) divided by 0.25, others show that you have to divide it by 0.5... What would you do in each case, and is there any literature you would recommend? If it matters, I am mostly interested in Copper and Arsenic.
Regards
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You don't give a research question so I would simply report exactly what you said in full detail. You may want also to give information on the detection limits of the methods you used. Just let Prof Kan know detection limits are determined by Nature's own chemistry and not by personal choice. Best wishes David Booth
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For Individual responses I can calculate the value with respect to which we have to check the outlier don't know?
Please help in this regards
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Kindly follow the SPSS structure for determining the critical value here: It is pretty simple and intuitive
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I am looking towards learning the statistical analysis involved with the linkage of air pollution with health endpoints. The fundamental knowledge about time series analysis and epidemiology is critical. Would appreciate if resources can be shared about statistical data analysis
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You need to have a good data of long-term time series. It may give you to make regression analyses.
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Hello SEM experts,
I have a 2nd order reflective construct which have 6 first order factors all having 2 questions each. Can i combine those two questions for each 1st order factor by using item parceling approach for CFA and SEM? Actually i am trying to reduce the number of observed variables because of so many questions in my questionnaire. What are the implications if i do this?
I am using IBM AMOS for CB-SEM.
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Did you manage to solve this problem?
I came across the same issue as your.
Did you happen to find good reference for this procedure?
thanks in advance.
T
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Hi, I am an undergraduate currently working on a project that is using a quantitative survey.
I have developed 3 scenarios that have the same 5 Likert scale questions across these scenarios. Also, the questions are split into confidence and experience, as they are asking respondents to self-rate themselves on confidence and experience on the skills specified in the questions.
My question is, how should I analyse the Likert scale responses across all 3 scenarios? Can I sum them up then divide them to get the mean value of each response to each question? I cant seem to find similar papers like my situation.
I have found Cronbach alpha to be >0.7 across all the questions and there is significant positive correlation between confidence and experience across all 3 scenarios. Are these valid reasons enough to add up arithmetically the responses across the 3 scenarios? I can't find any research to say when I am able to add the responses up.
Please help as I am quite lost. Please cite sources in your statement so I can read up further too.
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The Likert's Scale means are the main criterion for measurement and comparison, between the three scenarios (groups)
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In vitro experiments ,there are only 6 samples per group, what method is used to compare the differences between groups? I want to use proper statistical data analysis method.
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Hi,
I have RT-qPCR data that I am analysing currently, but am unsure of how to correctly express the statistical analysis of it.
The experiments (two independent replicates) contain the following;
Control sample, test sample
Endogenous control gene, 6x target genes
I want to express the data as fold change, but need to add error bars and statistically analyse for significance. I have thus far calculated the delta delta CT value for each set of samples for each target gene relative to the endogenous control, and have calculated fold change (=2^-ddCT) of the test samples relative to the control samples.
Do I use the Std Dev of the ddCT values as the error bars, and how do I analyse for significance? (my thought was using test versus control samples with independent samples T test, but with what values?)
Thanks in advance
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The study consists of three variables - IV, mediator and DV. Data was collected three times with a lag-time of one year between each wave (longitudinal survey data). I intend to kind of establish causality? How to do analyze it and can I use AMOS or Hayes Process for this purpose?
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Generalized Estimating Equation (GEE)
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Hello,
In relation to another recent, as yet unanswered, post (https://www.researchgate.net/post/How_to_calculate_comparable_effect_sizes_from_both_t-test_and_ANOVA_statistics), I am wondering how I can calculate the sample variance of an effect size, in order for me to then infer the confidence intervals.
So far, I have been calculating 'Cohen's d' effect sizes from studies' experiments, by using the t-value of two-sample t-tests and the sample size (n) for each group. I then convert the Cohen's d into an unbiased 'Hedge's g' effect size.
I understand that, normally, in order to calculate sample variance, I would also need to know the means of the two groups and their standard deviation. However, these are not reported in most studies when a t-test is calculated. Is there any way I can calculate the sample variance of my Hedge's g effect sizes without this information?
Many thanks,
Alex
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Florina Erbeli can this method also be used for within participant designs, when you do not have access to the r statistic please? I expect not as it would then suggest double the sample size. I am struggling to fine a way to calculate the sample variance with only a t statistic, sample size and effect size.
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The mentioned test is not conclusive because the results of this test validates the exogenous instruments even most of them are endogenous. So, I will be greatly appreciating any suggestions.    
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The J-statistic derived from TSLS can give you different results from those obtained in regression with TSLS residuals as dependent regressed on instruments and exogenous
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In the simulation I am conducting, I have a set of triangles and I select the optimal triangle based on my metric. After every simulation, I obtain an optimal triangle and I note down the lengths of its three sides. So i conducted this simulation a large number of times and noted the lengths of the three sides of the optimal triangle. Now I want to see if there is any pattern which these three sides follow or if there is any relationship among these three sides, or even between two sides.
For example, the names of the three sides are D1, D2, and DX, a relationship can be something like , D1=D2=Dx or D2=2 times Dx, etc. (simple examples, it may have a little complex relation).
I have seen that D2 and DX have a close correlation, how can I use this to relate it with D1 OR what conclusion can I draw from it? How can I analyze these three variables together? Whether I can do something like D1 Vs (D2 and DX)?
The dataset looks like this: (but having large number of data)
D1 D2 DX
3.3 3.0 3
1.12 0.83 1
4.4 6.44 6
2.5 11.9 15
0.79 2.19 3
3.81 9.63 12
2.4 4.9 7
2.56 13.2 13
1.97 5.26 5
4.50 3.68 4
4.72 5.21 6
0.89 4.10 5
1.78 5.89 8
3.2 7.54 12
3.18 2.20 4
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Busari Yusuf Thank you. I will explore this more to understand the concept of PCA.
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My study model has two Independent variables, one dependent and one mediating .
How to assess collinearity in PLS-SEM?
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in a reflective model, can the multicollinearity issues can be established by only seeing inner model VIF values?? My inner Vif values are showing no multicollinearity issue, while outer model has few multicollinearity issues. Please guide.
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I have a very simple model where I measure the effect of tone of voice on purchase intention, moderated by brand alignment. I have a 2x2 between subjects model, with tone of voice levels being informal vs formal, and brand alignment levels being warm vs competent.
When I run a two-way anova, I see that the main effect for tone of voice is not significant. However when I run it in a one way ANOVA, this effect is significant. Can someone explain why this is, and if i were to report the one way anova would this be incorrect?
for bachelors thesis
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How does oversampling technique like ADASYN, MWMOTE handle the nominal, or categorical features in dataset
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Use SMOTENC
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We are conducting a study about the correlation of covid-19 psuedoscience theories to the proliferation of COVID-19 positive cases. Which statistical test should we use to correlate the data that we are going to gather from the Covid-19 pseudoscience theories scale (4pt likert scale) to the number of positive cases? (data of the covid-19 positive cases will be from the health departments tally). Thank you for those who could help us in advanced. ☺️
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Dear Scientists
During a study of corrosion inhibitor's performance, and doing Tafel fitting, there is a statistical value appear called "Chi Squared" and having a wide range of values ranging from very low (0.0001) to tens. 
Please can you advise how can I decide based on "Chi Squared" value if my Tafel fit is correct or not? 
I am using GAMRY Potentiostat. 
Thank you in advance
Aasem
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Dear Aasem Zeino , a Chi-Squared distribution corresponds to the distribution of a sum of the squares of n independent normally distributed (i.e. Gaussian) random variables. This gives a corresponding Chi-Squared distribution with degrees of freedom; if these variable are not all independent, the the number of degrees of freedom will be lower than the number of the variables.
A Chi-Squared distribution corresponds thus to the expression in the image, and this corresponds to the result of a least square fit. Tafel fit for the frequency response goes in this direction.
There is an interesting leaflet at this link: http://www.consultrsr.net/resources/eis/chi2.htm
Hope it helps, best regards
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Hello everyone, I would like to ask if the way that the sample size of this research was calculated is valid or correct. Is a study to evaluate the effect of gargling with Povidone iodine among COVID-19 patients. The text says “For this pilot study, we looked at Eggers et al. (2015), using Betadine gargle on MERS-CoV which showed a significant reduction of viral titer by a factor of 4.3 log10 TCID50/mL, and we calculated a sample size of 5 per arm or 20 samples in total”. From this data of the reduction of the viral titer in a previous study on MERS-CoV ¿It is valid to calculate the sample size this way for a new study on COVID-19?
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there are many different ways to estimate the sample size and you can select the suitable one for your research.
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These tools are powerful and allow for a wider and deeper understanding of datasets, but which is the best one for Social Economics? The criteria for this comparison is set by:
a) How easy is it to learn?
b) How easy is it to use?
c) Tools (repositories, etc.)
d) Cost
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I strongly recommend Python.
Python is an interpreted, high-level and general-purpose programming language. Python's design philosophy emphasizes code readability with its notable use of significant whitespace. Its language constructs and object-orientedapproach aim to help programmers write clear, logical code for small and large-scale projects.
Regards,
Shafagat
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Hi everyone
I have recently conducted an experiment
my experiment design is like below:
group 1 T1 X T2 T3
group 2 T1 X T2 T3
group 3 T1 X T2 T3
group 4 T1 X T2 T3
now whats my best option to analyze the collected data in SPSS?
I have used the repeated measures in general linear model section, but it has its shortcomings and don't give me the data I need.
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Hi Amir,
You can modify the syntax in SPSS to carry out simple main effects, interaction contrasts, and main effects. This was mentioned in another post: https://www.researchgate.net/post/Repeated-measures-ANCOVA-post-hoc-test-for-grouptime-interaction
/EMMEANS = tables(group*time)compare(time)
/EMMEANS = tables(group*time)compare(group)
Make sure you check assumptions prior to your analysis. Lastly, you'll need to consider how to account for multiple comparisons. Hope this helps!
Best,
Justin
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Dear to whom it may concern,
I would like to ask you about the normalization methods used to remove non-biological variations from the metabolomics data.
Because there have been many normalization methods reported until now, I am so confused about based on what criteria to select the best normalization method for a particular metabolomics data? Also, what is the meaning of each normalization method?
I hope that you may spend your little time clearing my questions and if convenient for you, may you show me the documents or tips in this case, please?
Thank you so much,
Pham Quynh Khoa.
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Hi Pham Quynh Khoa,
I found the following article very useful.
Misra BB. Data normalization strategies in metabolomics: Current challenges, approaches, and tools. European Journal of Mass Spectrometry. 2020;26(3):165-174. doi:10.1177/1469066720918446
Do have a read.
Hope this helps.
jaime
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I measured call rates for manatee vocalizations and have a range of call rates from 0-11 calls/min. The data set for all observations are not normally distributed, however I want to report call rates for individual groups (ie. Call rates for one manatee, groups of two, etc). Is it more appropriate to use the median and interquartile range to describe each set or would the mean and standard deviation be acceptable. I do not have a large standard deviation when looking at individual groups. Ie. (Call rates for groups of 6 animals was 6.28 calls/min with a standard deviation of 4.21)
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Can't
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Hello, I have a query
What happens is that I have some data (continuous), that theoretically should have some kind of relationship, and I want to make some statistical test of association between my data (which are few, les than 10 samples for some groups) and other data set (Other features of interes)t which are many. The problem is that, I try doing random data based on the means and standard deviations ( on mintab and using the normal distribution) but shows no  association or dependency  type , probe with regression and correlation (nonparametric too), what kind of approach should I use in these case?
thanks for the help
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triangulation
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I have analysed my data and have a significant H- value. But I would want to see where my samples are different. Could someone please help me on how I can be able to do post-hoc test after Kruskal-Wallis in STATISTICA. I would like to do a Tukey HSD.
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According to best of my knowledge, and I'm using Statistica for several years already, there is no post-hoc test to non-parametric comparison with Kruskal-Wallis ANOVA, which would be an analogue to parametric ANOVA (e.g. Tukey test). After obtaining significant Kruskal-Wallis ANOVA one should do Mann-Whitney U test for direct comparison between every 2 groups. This solution is accepted by the majority of reviewers.
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Dear seniors and researchers,
I am currently performing ROC curve analysis in SPSS v22 to asses the diagnostic value of several laboratory tests to predict parasite density status (whether hyperparasitemia or not) of patients with malaria. I found that investigated parameters I examined showed a high AUC while the p value is not significant. Regarding the circumstance I faced, what are possible factors that might influence the significance of AUC in ROC Curve analysis? Does the number of samples contribute to this finding?
Thank you
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I would guess your standard error is very large? Perhaps because your sample is too small?
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When calculating required number of subjects in designing research protocol. Three parameters, significant level, power and effect size, are required. Significant level (P<0.05) and power (=0.8) are easy to set. For the effective size, I am referring Cohen’s review “A power primer” (PMID: 19565683). The review shows the effect size indexes for SMALL, MEDIUM and LARGE in various tests in Table 1. But the table does not show the values for paired t test. Please let me know the values and the publications I can refer to.
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You can calculate the effect size of a paired sample t test in two different ways
1. Mean difference (pre-post) / SD
2. t value/√n
Both will provide you same value of effect size
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The research question is: Does gender influence stress levels four month post-diagnosis of cancer?
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Very interesting information
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I am making a research design for estimating the relation of three independent variables namely organic, conventional and integrated agriculture in relevance to the decrease of soil erosion. i need to decide on what kind of analysis i need, that is, bi-variate or multivariate data analysis.  i feel that taking pairs of correlation between pairs of variables is more appropriate than looking for interaction that leads to a aggregate measurement that is, multiple correlation or multiple linear regression. so anyone that can comment and help to answer my question will be appropriate as a feed back.   
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I agree. Find the Pearson correlation between each independent variable and the dependent variable first and then proceed to use Multiple Linear regression
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Hi there,
I do not have a solid understanding of the statistics - I am seeking advice regarding the correct data analysis. I am helping my colleague to analyze the oxidative stability of oil. Please help us!
This is what our data looks like
We checked oxidation products in oil samples in triplicate (n=3) at 6 different time points (0, 2, 4, 6, 8, and 10 weeks) under 2 different relative humidities (11 vs 44%).
I am confused as to which statistical test(s) would be the suitable one.
I really look forward to hearing from you awesome scientists:-)
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Hello Pankaj,
Do I understand correctly that you have a total of 6 samples (three exposed to lower humidity; three exposed to higher humidity) measured on each of 6 occasions?
If so, then this sounds like a 1-between (humidity: 2 levels), 1-within (occasion: 6 levels) anova design (which could be called a two-way design as suggested by Peter Samuels ). Older texts might refer to this as a "mixed" anova design; others as a repeated measures design (the occasions factor). This is a pretty straightforward analysis, but as Peter mentions, the small N may make tests of the humidity effect (or humidity x occasion interaction) not very powerful unless the magnitude of the difference is pretty large.
Good luck with your work.
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I have predicted crop yield as a function of two treatments, each treatment at four levels. The model does not work well, so I use a log transformation. I then calculate least square means and run a Tukey test on these means. I plot a nice graph ...... and get complaints. A common suggestion is to back-transform the results. This seems simple enough but I don't know what the numbers mean. The problem started with typing in a bunch of numbers into Excel. I can then take the mean of these values. I can take the log of each value. I can back-transform the mean(log(value)) and find that it is nothing like the mean of the untransformed values. The cause is that the log transformation changes the distribution of the data. Needless to say back-transforming the LSMeans and SE in the original problem did not seem to work very well either.
   There are solutions. For example, present the raw means and standard deviations, along with the multiple comparison results from the model with the transformed data. I have no problem with that.
   I can find statistics textbooks that recommend back-transformation. So I was wondering if it was generally accepted. If so, then how does one interpret the result? It seems to me that applying the term "mean" would be misleading, and I do not see figures with labels like "back-transformed(log(value))."
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Here's a good paper on this topic where relevant methods are presented:
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Hello,
My research will have 2 groups (intervention & control groups) comprised of couples in a romantic relationship. I will sample each participant three times for a period of 45 days (at the beginning of the study, after two weeks and a month after that), so time as a within subject factor.
What do you think is the best analysis for this study design?
Any help will be appreciated.
Thank you in advance!
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Hello Milana,
The good news here, is that you are apparently asking for recommendations in advance of running the study.
The choice of best analysis depends on: (a) your specific research question(s)--which wasn't revealed in your query; (b) the nature and quantification of the variables in your study (as implied by the response of Shinjon Chatterjee ); and (c) how data are collected.
If you could elaborate on the points above, you'd more likely get constructive advice.
Good luck with your work.
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There are several ways to validate quantitative research findings with the help of different programs like SPSS and other stat tools. I want to ask as if there is any method to validate or proof the results of qualitative research findings like interviews and how to include this qualitative date in the research article.
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Hello,
I am currently undertaking a meta-analysis related to the efficacy of previous studies to harness pharmacological agents to ameliorate associative fear memories in rodents. The concept of effect sizes is fundamental to meta-analyses, but I am not so familiar with it. As a result, I have a (perhaps) elementary question related to the calculation of effect sizes:
I have decided that 'Hedge's g' will be the most appropriate metric of effect size for my analysis, given the relatively small sample sizes of my included studies. Often, authors will report an observation-of-interest (i.e. treatment vs. control effect) in the form of a (two-sample) t-test. I have found that the reported values of a t-test can easily be used to calculate a Hedge's g effect size - all good so far.
However, often an observation-of-interest is reported as an ANOVA (e.g. when the treatment group is compared with more than one control type), and other meta-analyses I have read seem to derive their effect sizes from both t-test or ANOVA statistics, depending on which is carried out. Again, I think I have found the correct equation to derive a Hedge's g effect size from the reported F-value of an ANOVA. However, I am struggling to understand how effect sizes can be comparable when they are derived from both t-test and ANOVA statistics. Surely ANOVA-derived effect sizes are less informative because you cannot tease out the individual contrasts-of-interest from an F value, as you obviously can for a two-sample t-test.
As a result, my initial instinct would be to request the raw data from the author (when ANOVAs have been reported), calculate a t-test for the specific contrast-of-interest (i.e. treatment vs. one particular control group) and calculate the Hedge's g effect size from the resulting t-test value.
Apologies for the long question, but I would hugely appreciate someone to enlighten me, and show me how to conflate t-tests and ANOVAs when generating effect sizes for a meta-analysis.
Many thanks!
Alex Nagle
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You cannot tear apart anovas to perform individual t tests because you will remove other interactions. The post hoc tests of anova are comparable with the t tests. You can directly compare t and anova tests because they're essentially the same thing
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I have data from an assessment tool administered to two samples from two sifferent countries. Can somebody help me with the best statistical method to assess the cross-regional validity of the assessment tool?
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To compare two means if the data are categorical you may use a nonparametric method like Wilcoxson rank sum test or Mann-Whitney test. I have seen this work out for me, well. But you may try the other suggested options.
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Does the modern testing theory help solve the misleading nature of drawing conclusions based on the significance or the non-significance of the P-value?
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About which of these alternatives (some of which are not that modern, like confidence intervals). If on how computer have changed inference, I believe the best book is: https://web.stanford.edu/~hastie/CASI/ , which is freely available at https://web.stanford.edu/~hastie/CASI_files/PDF/casi.pdf . It has several useful plots showing how procedures have developed over time. These are focused on inference (so in the preface they describe how this focus is different from the focus of some in so-called machine learning), but drawing a line between inference and prediction is difficult.
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Do you use tools like SIMCA or MetaboAnalyst in your work?
I'm part of a team at Kitware (https://www.kitware.com) attempting to address some major issues metabolomics researchers face with a new free and open source platform for statistical analysis of metabolomics data.
This tool is being funded by the US National Institute of Health; Grant details can be found at: https://projectreporter.nih.gov/project_info_description.cfm?aid=9792042&icde=43584022&ddparam=&ddvalue=&ddsub=&cr=4&csb=default&cs=ASC&MMOpt=
In particular, we are looking for:
  • major pain points with current tools
  • suggestions for new features
  • real-world data to guide our development
Please feel free to either reply through these forums or email brandon.davis@kitware.com. If you are available to follow up and tell us more about your lab's needs via video chat, please email me and I can schedule something with our team.
Thank you!
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Dear Experts,
I am in the process of writing my master thesis on the factors that influence the intention to purchase a sustainable children's product. I do not have any knowledge in statistics and my mentor does not seem to know as well. Thus, I am resorting to online resources in the hope to find help. My conceptual framework consists of 5 constructs that may or may not influence the intention to purchase green; namely, attitudes, subjective norm, perceived behavior control, environmental knowledge, product attributes.
In the survey, I measure each construct with 2-4 Linkert Scale questions with 5 possible answers from "Strongly Agree to Strongly Disagree" (total of 18 questions). Additionally, I added demographic questions.
I would appreciate any feedback and I wish everyone stays safe and healthy.
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There are a number of issues to consider:
  1. What was your sample size? You would need about 100 for the advice below.
  2. Unfortunately you have used rather small groups of questions to measure your constructs.
  3. These groups need to be validated through a reliability analysis. This process often leads to losing up to half of your items.
  4. The best technique for this is principal component analysis.
  5. The minimum number of items in a validated group is 3.
  6. To systematically measure this relationship you might consider using multiple linear regression provided that your dependent variable is also scale. If intention to purchase is an ordinal variable you might consider ordinal logistic regression.
There is more information on some of these issues in my study guides.
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If I need to find out a suitable sample size population to utilise in a chronic disease case control study, how do I use an allelic frequency derived from a previous study on a chronic disease prevalence to calculate this value.
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You can have a look into the following link for calculating sample size using allele frequency. I think this calculator considers all the aspects required to calculate sample size for genetic analysis.
Best of luck.
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T-test is usually applied on interval data. Is it okay to apply on Likert data? How?
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Here are some related papers:
"Parametric statistics can be used with Likert data, with small sample sizes, with unequal variances, and with non-normal distributions, with no fear of 'coming to the wrong conclusion'.
It is, therefore, as the intervalists contend, perfectly appropriate to summarize the ratings generated from Likert scales using means and standard deviations, and it is perfectly appropriate to use parametric techniques like Analysis of Variance to analyze Likert scales.
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I would like to conduct Monte Carlo uncertainty analysis for actual and predicted data in R;
Kindly share some effective resources;
However, I have this <<https://rdrr.io/rforge/metRology/man/uncertMC.html>> where understanding the hyperparameters of it is another challenge.
Please share your views/knowledge/ effective stuff/materials
best regard!
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Mohammed Deeb , Muhammad Ali , and Cristian Ramos-Vera thank you so much for your response which strengthens the idea for sure, however, the requirement as mentioned is slightly different. this " " section 2.3 the exactly the requirement is matched and the graph after analysis needs to draw as attached one. I hope you will find something precisely to the requirements.
I pray for your safe stay in this period.
best regards
Suraj
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One of my student has performed a statistical analysis based on data obtained from Likert scale. However interpretation from t-test  which is based on the null hypothesis that the means are same and p <.05 and hence hypothesis that the statements are complied with ...(means are same) has been proved?!!! Hope this is wrong.
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What types of analysis can I do with likert scale data of 28 items , 270 respondents (attached file)? Pls help.
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I have a set of nonlinear ordinary differential equations with some unknown parameters that I would like to determine from experimental data. Does anybody know of any good freely available software, or good reference books?
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Use Mathematica-modul NonlinearModelFit.
For example, for the data set: data= {{0., 61.375}, {0.25, 366.5}, {0.5, 305.375}, {0.75, 211.375},
{1., 165.125}, {1.5, 128.25}, {2., 121.875}, {4., 84.375}}
a simple Mathematica-program [Glucose Tolerance Test]:
model[al_?NumberQ, om2_?NumberQ, KK_?NumberQ, mu_?NumberQ,
nu_?NumberQ] :=
Module[{y, x},
First[y /.
NDSolve[{y''[x] + 2 al y'[x] + om2 y[x] == KK, y[0] == mu,
y'[0] == nu}, y, {x, 0, 10}]]]
Clear[x, y]
nlm = NonlinearModelFit[SDP0,
model[al, om2, KK, mu, nu][x], {{al, 5}, om2,
KK, {mu, 100}, {nu, 4000}}, x]
nlm[[1, 2]]
gives:
{al -> 4.97808, om2 -> 16.8225, KK -> 1650.52, mu -> 61.2647,
nu -> 3811.59}
Parameter Identification Problem for a set of nonlinear ordinary differential equations with some unknown parameters can be solved similarly.
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I have done a questionnaire about the impact of social media on sales and I have got 91 responses out of 120 and I want to analyze it by using statistical data analysis to support my hypothesis.
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The easy way to start with applying statistical functions if applicable like mean, standard deviations, p-value, t-testing, or chi-square (if the data/outcomes are of numeric nature).
In your case, I believe chi-square test method may work to support your hypothesis.
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I am working on "Causes of students' failure".
I distributed a questionnaire to students and some variables were tested to find out if they are responsible for students' failure in English classroom.
Some of those variables are lack of motivation, anxiety, inappropriate study methods, teachers etc.
Are these variables dependent or independent?
Thank you very much indeed!
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Independence and dependence of variables are relative concepts, situation dependent and also objective (of study) dependent.
It is situation dependent . An independent variable in one situation may be dependent in another situation. For example, let us consider a situation where the two variables namely velocity and acceleration of a moving body is considered. In this situation, velocity depends upon acceleration and accordingly, velocity here is the dependent variable and acceleration is the independent variable. On the other hand, if we consider a situation where the two variables namely force and acceleration of a moving body is taken in to account then acceleration depends upon force and accordingly, acceleration here is the dependent variable and force is the independent variable.
Again, the concept of Independence and dependence of variables can be interpreted as objective (of study) dependent. A variable, which is independent in a study on some objective, may be a dependent variable in another study on some objective or in the same study on another objective. For example, if we want to know what will be the total population in the world in the year 2030 then total population will be dependent variable and time (year) will be independent variable. On the other hand, if we want to know when will the total population of the world become 1000 crores then time (year) will have to be treated (interpreted) as dependent variable and the total population of the world as independent variable.
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I am doing my dissertation on electrical smart meters design. I am questioning whether the design of the features is limiting the potential Reduced Household Energy Consumption (RHHEC) as currently, smart meters are underperforming in terms of RHHEC when compared to predictions.
I have data on energy reduction status binary Yes/No and a 5-point Likert scale from a large decrease to a large increase in energy consumption. I also have data on 12 different smart meter features concerning:
  1. Are you aware that you're Smart Meter has feature X?
  2. How easy X feature is to find
  3. How easy X feature is to use
  4. The quality of X features information
  5. The usefulness of X features information in terms of facilitation RHHEC
I have supplemented these questions with comment boxes to collect information on what makes an easy to find and use a feature and what households valued in a useful feature
What I want to do is compare this information between those households that saw RHHEC and those who did not to look for trends e.g. households who find the features hard to use or cannot find a certain do not see RHHEC
How would I go about analysing these?
I have considered a chi-square, linear regression or 2 samples t-test, can I perform multivariate analysis on all 12 features at once compared to RHHEC status (Y/N) or should I assess each feature individually?
Following this can I perform PCA or use dendrograms or is a simple scatterplot matrix the best?
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I am not familiar with Prof. Paul R. Yarnold 's approach so I would suggest a possible alternative, assuming that your DVs are of binary (yes,No) type: logistic regression. I am attaching a set of class notes by Prof. Frank Harrell that includes examples. This procedure should be available in any Statistical Computer package you may have. Best wishes, David Booth
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Hello researchers!
I am currently writing my thesis and is trying to analyse my data. We thought we could use a z-test but since our collected data is not normally distributed we are trying to find a new method to use. We collected data via a survey where the participants looked at prototype 1 and later answered questions in a 5-point Likert scale, before moving on to prototype 2 and answered the same questions for that one as well. We want to compare the two prototypes as well as look at them individually. The participants were a convenience sample and we got about 80 answers.
Does anyone have a suggestion on what kind of data analysis method we could use?
Any help is very welcome, thank you!
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Hello Jessica,
It depends on whether you intend to create some sort of summated score for the set of item responses (on the Likert-type response scale), or to compare individual item responses across prototypes. (As well, the decision of how to combine item scores if that's the intended direction: via IRT model, via factor analysis, via researcher-declared method, etc., will make a difference.)
Since it appears your participants rated each prototype, the scores should be considered matched/correlated/dependent. Wilcoxon's signed-ranks sum test could handle the statistical comparison, without imposing a need for normality or for interval-strength scores.
Good luck with your work.
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Hi all,
I'm looking at accelerometer data. I used two accelerometers at once for a backup, but now I need to correlate the two datasets provided. I'm only looking at one axis on each, but one set of data has ~5000 more data points than the other. This may sound like a lot, but the datasets on average hold about 215,000 points of data. During data collection, I paired the two so they began collecting data and ended at the same time, but still one observed more movements than the other. Is there anyway around this to compare the two to say that both pick up about the same type of data than the other? A correlation test in R isn't working since there are two different amounts of data in each column. I do, however, have the mean and SD of each set.
Thanks so much in advanced.
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Lacey Valois , if your time series are simply recorded at two different frequencies and are thus not synchronised, you can for example use the Hayashi-Yoshida approach to compute a covariance, without removing any observation:
Hayashi, T., & Yoshida, N. (2005). On covariance estimation of non-synchronously observed diffusion processes. Bernoulli, 11(2), 359-379.
In addition, if you have some doubts on the accuracy of the times of the recording, you can increase the time step when computing the correlation (taking for example into account one observation in two). By doing so, you should see an increase of the correlation (known as Epps effect).
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I have two datasets containing Z-score data. However both of them are of highly different sizes, i.e one has 500 samples while the other has 4. I want to determine if the differences between the samples is statistically significant. I thought of using an unpaired t-test, but I am not sure if the difference in sample sizes would invalidate the method.
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One way to compare the two different size data sets is to divide the large set into an N number of equal size sets. The comparison can be based on absolute sum of of difference. THis will measure how many sets from the Nset are in close match with the single 4 sample set. most important is what is the purpose of comparison.
Best wishes
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I need to compare two groups with equal /unequal variances. Which t-test is the best? If I am using Welch's unpaired t-test, should I do an 'F-test two-sample for variances' first and see if the groups have an unequal variance?
Thank you for your answers
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Most of the young researchers get confused with these two statistical tests while analyzing. In order to better understand this issue, I am putting forward a discussion for expert opinions. When is the chi-squared test not the exact fishing test to be carried out? and when to perform fisher's exact test instead of the chi-squared test?
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Chi Square is less accurate when an expected value in a cell is less than 5. That usually happens when the sample size is small. You can merge groups in a variable together and perhaps get larger observed and expected values.
The Fisher exact does not have such accuracy limitations, however it is only applicable when the groups are (n x n). Some softwares like spss only calculate the Fisher's for (2 x 2) groups only. You can either merge or delete some groups in the variables to make Fisher exact applicable. Example for (2x2) crosstabs are Male/Female x Smoker/nonsmoker.
There is an alternative test which is similar to the Pearson's chi square is the G-test which can give similar or better estimations than chi square. Here is a link for more info: http://www.biostathandbook.com/gtestind.html
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I am a bit stuck with the following problem. I am currently performing a meta analysis on observational studies using CMA where my outcome variable is the performance on a cognitive test as a function of adherence to an exposure variable (on a scale of 0 to 9). Normally,  the results are presented either as means differences between tertiles according to the level of adherence (low, middle or high) or as a regression coefficient per additional unit of the exposure variable.
My main question is, how can I pool together both types of studies into the same meta analysis? I have found a similar question on risk estimates that suggest to estimate the linear trend of the categorical results. I don't have access to raw data and I only know sample sizes, mean differences and confidence interval. Is it possible to do the same in this case? If so, how should I do it?
I was thinking of just including each tertile comparison as a subgroup of the same study, and leave the continuous variables as they are. But I am not sure if this lousy approach is acceptable. 
Thanks.
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Maybe you can refer to Cochrane hand book. The chapter 9.4.6 described the problem.
9.4.6  Combining dichotomous and continuous outcomes
Occasionally authors encounter a situation where data for the same outcome are presented in some studies as dichotomous data and in other studies as continuous data. For example, scores on depression scales can be reported as means or as the percentage of patients who were depressed at some point after an intervention (i.e. with a score above a specified cut-point). This type of information is often easier to understand and more helpful when it is dichotomized. However, deciding on a cut-point may be arbitrary and information is lost when continuous data are transformed to dichotomous data.
There are several options for handling combinations of dichotomous and continuous data. Generally, it is useful to summarize results from all the relevant, valid studies in a similar way, but this is not always possible. It may be possible to collect missing data from investigators so that this can be done. If not, it may be useful to summarize the data in three ways: by entering the means and standard deviations as continuous outcomes, by entering the counts as dichotomous outcomes and by entering all of the data in text form as ‘Other data’ outcomes.
There are statistical approaches available which will re-express odds ratios as standardized mean differences (and vice versa), allowing dichotomous and continuous data to be pooled together. Based on an assumption that the underlying continuous measurements in each intervention group follow a logistic distribution (which is a symmetrical distribution similar in shape to the normal distribution but with more data in the distributional tails), and that the variability of the outcomes is the same in both treated and control participants, the odds ratios can be re-expressed as a standardized mean difference according to the following simple formula (Chinn 2000):
.
The standard error of the log odds ratio can be converted to the standard error of a standardized mean difference by multiplying by the same constant (√3/ π = 0.5513). Alternatively standardized mean differences can be re-expressed as log odds ratios by multiplying by π/√3 = 1.814. Once standardized mean differences (or log odds ratios) and their standard errors have been computed for all studies in the meta-analysis, they can be combined using the generic inverse-variance method in RevMan. Standard errors can be computed for all studies by entering the data in RevMan as dichotomous and continuous outcome type data, as appropriate, and converting the confidence intervals for the resulting log odds ratios and standardized mean differences into standard errors (see Chapter 7, Section 7.7.7.2).cutually, cochrane hab
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Hello,
I need some advice about how to statistically analyze WB data.
I am trying to compare the levels of two proteins in mutants relative to wt samples (it's mouse embryonic tissue).
I repeated the blot 3 times, with control and mutant samples in each run following exactly the same protocol each time. (Because of the type of sample, it's not easy to increase the number of blots or to run all samples in the same blot, which would be better for analysis). Then, for each blot I obtained the relative intensities and normalize with Actin to get the normalized relative intensities (NRI) for the wild type and mutant samples.
Visually (and checking the NRI), the differences are very obvious but I would like to see if the differences are statistically significant.
So my main question is about the statistical analysis of these data. After looking for information and not finding much, what I have tried is to use Linear Mixed-Effects Models with genotype and protein (plus their interaction) as a fix effect, and run as a random effect, then do an ANOVA and calculate the pair-wise differences between groups. Run is not significant and the level of one of the protein is, which is consistent with what I see in the blots.
Is this analysis correct? Does anyone know any other proper way (if there is any) to analyze these data?
Thank you in advance
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(More than 8 month later) thank you for your advice,
Jochen Wilhelm
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I have individual level data from several rounds of surveys. These individual responses are nested within sites. I have other data measured just at the site level. However, there are only 10 sites, and I have a number of factors (more than 5) I would like to turn into a composite score. Is there a way to create a composite score for sites with so few cases (N=10) and use that to predict average individual responses?
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Yes of'course, you can!
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Hi, I'm running an antibody-dependent phagocytoisis assay, where we add serum to fluorescent antigen-coated beads, then donor neutrophils, and subsequently measure the amount of phagocytoisis as MFI (fluorescence) within our neutrophil population to give us a phagocytosis score.
As we run the assay on different days with different neutrophil donors we are also running a titration of a serum standard. I was wondering how best to utilise this standard curve?
One method we're using is similar to what you would do with an ELISA, whereby you interpolate the values of our diluted sample from the standard curve. But this is only giving me a somewhat arbitrary value of the dilution required (which I can convert to phagocytic units, but again this is just done arbitrarily). The other method I've tried is min max normalisation using the top and bottom of the standard curve values.
What I would ideally like is a method of normalisation that gives an output as phagocytic score, as this seems biologically most relevant. Any input is appreciated.
Cheers,
Mari
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I expecte may be interested in z score that is called standard value.
Z=(observation - avarege) /standard deviation.
Standard scores
The raw scores (data) obtained as a result of tests and measurements do not help to infer the levels of individuals tested compared to the mean or comparison between the people themselves, if we know that individuals may be subjected to a set of tests (test battery) and each of these tests enjoy The unit of measurement is different from the other, some of which are measured by the minute and its parts as an expression of the unit of time, including what is measured in meters and its parts as an expression of the unit of distance, including what is measured in degrees or the number of times, and for the purpose of eliminating the units of measurement so that we can collect laboratory degrees and give a uniform degree In the tests we use the standard score.
For the purpose of extracting the standard score it is necessary to extract the mean and standard deviation for each test, through which the standard score can be extracted.
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Hi
Historical data is used to forecast the number of functional failures in passenger trains. However, there is always differenc in forecast and actually observed data. Am wondering which technique or approach is suitable to minimize the forecast error in case of railway data.
Shall be greatful if you can share some useful article or case study.
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Mohammed El Genidy many thanks, i will definitelt read your paper. Hope it will help me
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Hello dears,
In regression modelling process, somtimes we deal to make a categorization of a continuos variable ( DVs or IDVs), What are really the potential problems inherent of such transformation, on:
  1. Estimation results
  2. Precesion and accuracy
  3. Hypothesis tests...
Thank you so much for any response and clarification
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Hi,
Please see these attached links:
Best
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Hi, I have conducted a literature review on performance of warm mix asphalt containing RAP mixtures. I tabulated several properties such as Rutting, low temperature cracking, fatigue etc. and number of studies showing positive results and negative for each property. For example, if 20 studies were selected for fatigue, there are 15 studies that shows positive and 10 that shows negative. I want to come to a conclusion based on this result whether WMA containing RAP is performing better in Fatigue or not. How can I statistically prove this? Which statistical tool should I use? Thanks in advance.
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No acceptable conclusion can be drawn here based on only 20 studies in this case.
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I'm looking for a free and user-friendly tool. I'm familiar with python (and a bit R).
Thank you
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Aryan Shahabian The assumptions change as the methods change as the problem changes. In my experience, sensitivity analysis was about how a solution to a problem changes as the input conditions or input data or ... change. It might help you to consider what a sensitivity analysis on the methods in one or the other of the attached papers might mean. IMO this is especially interesting because adaptive lasso in both of these situations has an oracle property as is mentioned. Best wishes, David Booth
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I have a little question and need some clarification on chi square's strength of association (using the Phi & Cramer's V). Say I have 4 parameters, all of them show significant relationship with the e.g., Quality i.e., p<0.05 in chi square test, but I want to prove more results by knowing the strength of each parameter, hence I use the phi and cramer's V, then I compare all the four parameters' association strength. From this, I know which one of them has the strongest relationship (most influential) as well as the least. Therefore, I would like to know whether or not such comparison between the parameters' strength is valid and allowable?
Thank you and your comment is highly appreciated.
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after performing chi square test, we should determine pvalue and then 2x2 contingency tables proves sensitivity and specificity
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HI RG colleagues,
some statistics' comments believe that the Baron And Kenny 1986 mediation method out of date. they suggested new effective approaches in term of testing the mediating variable.
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a better alternative (see the Hayes paper) is to focus on the indirect effect and its significance (instead of the "covariance-reduction-perspective". The significance can be evaluated by the Sobel equation or, better, by means of bootstrapping.
An even better alternative would be to move away from regression analysis and test mediation where it belongs--in a full SEM. The reason is (see here a thread about the difference between SEM and regression: https://www.researchgate.net/post/What_is_the_difference_between_a_regression_analysis_and_SEM
Mediation in a regression framework does not deliver a good support for the (causal) mediation concept: As regression does not allow to include causal assumptions by means of fixing certain effects, the model is saturated (=partial mediation). The consequences are a) a huge number of equivalent models (around 40!)- that is, you can flip the arrows without noting any difference (see the papers by Kline and Thoemmes below). In a SEM you can fix the direct effect (if this is reasonable) and specify a larger set of predictors of the involved variables (e.g., instruments)
And yes, scientists are human and keep doing things despite improvements and/or shortcomings.
Best,
Holger
Kline, R. B. (2015). The mediation myth. Basic and Applied Social Psychology, 37(4), 202-213. doi:10.1080/01973533.2015.1049349
Thoemmes, F. (2015). Reversing arrows in mediation models does not distinguish plausible models. Basic and Applied Social Psychology, 37(4), 226-234. doi:10.1080/01973533.2015.1049351
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Hi Colleagues,
For example. I have a data set which can be categorized based on sampling time and treatment. However, I only concern the main effect of treatment on parameters I measured. What I did is to conduct one-way ANOVA with treatment as the only factor to analyze data for each sampling time, respectively (e.g., day by day).
I want to know that is there any rules ask us to must conduct or report the two-way ANOVA before a one-way ANOVA even we don't want to discuss in the paper? I only want to enhance the readability and stress the effect of treatment.
Thanks.
Best,
Guijun
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There is no such rule. However if you use an experimental design for a two way anova. It would be incorrect to analyze it as a 1 way ANOVA See for example the differences between a completely randomized Design and a factorial design in Montgomery at this link:
Best, David Booth
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Do anyone know how to perform a linear regression with averaged data instead of individual data points? If I have, for example, data on a certain parameter for a number of species (let`s say photosynthetic rates) and, after a while, I go and collect data on nutrient concentration for the same species - but obviously different individuals - is it possible to correlate this data by using the species averages and errors? 
Thank you,
Caio
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@ Heba Elsalahy ,
I am of the same view as that of yours. With kind and best regards, Dhritikesh Chakrabarty
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My data consits out of observations rated on 5 different dimensions (5 point Lickert-scale). A sixth variable describes the outcome (binary 0-1) I am interested in. But rather understanding the individual contribution of these dimensions on the outcome variable, I am interested in finding out the optimal combination of dimensions resulting in the highest probability of getting the Outcome equal to 1.
Do you have any advice regarding a methodological approach for me?
Thank you very much in advance, your help is highly appreciated!
Kind regards,
Jessica Birkholz
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Hi Jessica,when there is a multivariate analysis like yours,we would suggest two methods.In case all variables are observed variables (e.g. age,weight,frequency) etc then on can go for Regression.But in case any one of the variable is a construct (e.g stress,satisfaction which cannot be measured in numbers or units but will have to be measured with a likert scale statements set called items)then we go for the SEM which includes the CFA method of analysis.
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The data for independent variable is collected from Respondent 1 and for dependent variables is collected from Respondent 2. So statistically the concept of Field independence-dependence is applicable. I want to know can this be resolved. 
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This is going to work. Let us not forget the fact that she measured the independent variable continuously. Then she measured the dependent variable continuously too. The objective of the study is not quite clear enough.
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I have a model that simulates tuberculosis, with different classes for Mycobacterium tuberculosis, macrophages, lymphocytes etc. i can vary certain parameters (such as, percent of Mtb specific lymphocytes in a particular simulation). i have data for the number of bacteria, macrophages at a particular time step over a time period. which statistical analysis is best suit to compare the data (for example, bacterial growth vs time at 10%, 20% 30%..etc Mtb specific lymphocyte conditions).
P.S i am using graphpad for data analysis
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Use One-way Analysis of Variance (ANOVA) if the groups you are about to compare are from three and above. Where the comparison will be between two groups, use independent t-test. If u wish to compare two independent variables with each have sub-levels, use two-way ANOVA
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I have assessed (Trait measure of attribution - for positive and negative situations ) for 85 sports persons. They all went on to play a competitive match. After the match (T1), they filled a state attribution questionnaire based on the result of the match (win/lose). Total number of winners were 51 and 34 lost their match. They all went on to play their next game (T2) and filled the state attribution scale, based on the result of the game (Win/lose) again. From the 51, who won their match at (T1), only 35 won and 16 lost the second game. From the 34, who lost their game at (T1), only 16 won their second game and 18 lost again.
I want to see whether attributions remain same? (trait-state-state)
whether one behaves like their trait attributions?
Any help regarding statistical approach would be appreciated.
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I have two data sample. For each sample I have more variables. I should make some regressions. I have the following doubt. There are many heteroskedaticity tests: Levene's test, Goldfeld–Quandt test, Park test, Glejser test, Brown–Forsythe test, Harrison–McCabe test, Breusch–Pagan test, White test, Cook–Weisberg test, F-test of equality of variances, Cochran's C test, Hartley's test. Which test should I choose and why.....? Once you have chosen, why do you reject others? 
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The unfortunate part of most of these tests for heteroskedasticity is that they do not show you the source of the problem, e.g., which variable is at fault.
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I took opinion from public health specialists about different indicators to create a city health profile. I tried to draw item characteristic curves for each indicator with R software. Please help me in interpretation of this chart.
Data is the score for each indicator i.e a continuous variable ranged between 1.00 to 5.00 (with decimals)
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Hi...I think you used wrong IRT model....your data contiuous....
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Hello,
In my research, I have three questionnaires:
first, a questionnaire that has 35 items and has no sub scale,
second, a questionnaire that has 7 items and has no sub scale,
and last, a questionnaire that has 18 items and has six sub scale.
I am going to use SEM (Structural Equation Modeling) by Amos.
My question is that before doing SEM should I do EFA followed by CFA for all my questionnaires (even the questionnaire that has six sub scale) or performing EFA just for the first questionnaire? In other words, for which one should I do EFA?
Thank you in advanced for your answers
Regards,
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I think doing an EFA and CFA on all the instruments will be a better idea. However, describing the first two instruments more will have been a better idea
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I have some data in which a number of the analyte concentrations (data points) obtained were below the quantitation limit (LOQ) of the method used. This is possibly as a result of both the low values of the analytes of intrest expected in the test samples and the method and instrument detection limits. In such a case, how are these "missing" data points treated during statistical analysis and subsequent interpretation and representation?
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There are numbers of way to solve the problem of values below detection limits, I list some of them:
1- Substitute LOD/2 for all of them.
2- If you want to use the substitution, it is better to substitute LOD/sqrt(2) (to consider for the variance as well).
3- Impute the values below detection limits using multiple imputation.
4- More advance statistical approach is to use the mixture model. A binomial model for below detection limit and a log-normal model for above detection model data.
Hope it helps.
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Some advocate for effect size, and others for confidence interval. Which is more reliable?
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Dear Heba Huessin,
I have recently made a publication on this important topic:
As I said in other post, there are many ways in which we can improve the way we report (and interpret) our results. The important thing is not to rely on simplistic modes (e.g., just show the p-value obtained). Complexing the report, for example by showing the confidence intervals and measures of the effect size, not merely give more information for an adequate reading of the results, but also this makes possible the execution of subsequent metaanalytic studies (in pursuit of a cumulative science). Undoubtedly, we must also move from a simplistic reading, based on arbitrary cut-off points, to a more critical and comparative reading of measures such as the effect-size.
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Hello,
In my research I am using a questionnaire that has 41 items as observed variable with no sub scale (the file is attached). I don't know how to use this questionnaire in my model in Amos because its items are too much if I use them as observed variable in my model.
I would be grateful to anyone who could help me.
Regards,
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Why not to first run EFA to confirm if they converge in one factor only
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I have a probit model where my dependent has four outcomes and few independent variables are also in likart scale. I have cross-sectional data series for 10 countries. For one country, it is very easy to apply ordered probit model. But i am unable to understand how to apply probit model for counties data set ?? the number of observations are also different for 10 countries. How to arrange my data set for Probit model ?
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Trung Dung Tran Thank you sir.
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For my thesis I am conducting my analysis, and am having problems with the second part of my analysis. For my second effect, I am looking at the effect of tone of voice (informal vs formal) on purchase intention, moderated by the Schwartz culture value of power.
Can I use a two way anova here? As the construct of power values has continuous and therefore not grouping variables.
Please help!!
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Hi, how to run two way anova with continous independant variable?
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I have Daily Rainfall Data for 30 years for few stations near to Belagavi, I wanted to know is there any Open Source Software for Statistical Data Analysis. I wanted to use this software for Analysis of Rainfall Data of as I feel difficult using MS Excel. Please suggest me if any
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Thank you Evans Ehouman for your Suggestion
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I am using unihadron sky quality meter (SQM) to measure the night sky brightness in a conservation area and hence study how bright or dark is the sky? Finally I want to interpret the light pollution in that area.
I have already taken measurements from about 65 various location in a single Night. The location being taken in terms of longitude/ Latitude. It is impossible to take repeated measurements exactly from same location fore more other nights. In short I can't have multiple data measurements from same location. Please suggest me what type of data collection procedure be applied in this case and also the type of statistical data analysis to be done?
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Indee the famous World atlas of the artificial light at night was calibrated that way.
But, now days we have a big problem with the SQM and other sensors, and it is the change of the spectrum of the world to LEDs.
Have a look on this paper.
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I am using a 2 X 2 factorial design to investigate the influence of revealing clothing on perception of age and likelihood of individual being approached. The study will involve participants being randomly allocated to one of two experimental conditions:
condition 1: model presented in revealing attire
condition 2: model in non-revealing attire
participants in each condition will be asked what age they perceive the model to be (to investigate whether the clothing style has any influence on how participants estimate the age of the participant to be. A second question will ask participants how likely do they think a man would be to approach this woman (the model) on a night out with sexual interests (see if the likelihood changes according to dress styles/across the two conditions). The model used for both conditions will be the same, just in different clothing styles.
What type of statistical data analysis would be more appropriate to analyse the data produced by this randomised control experimental design?
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I also think one way MANOVA is the way to go. The following video might help you
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Hi, I am working on a research. I have collected primary data and one of my variables in my research is distance from MMT agent of the farmers. I have conducted surveys on farmers both who use MMT and who don't. MMT distance is not applicable for farmers who do not use MMT. If I put 0 in STATA for the blank spaces, wouldn't it imply that they have 0 distance from the MMT agent? I tried with "." but that doesn't work.
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You have a two-part model. There are farmers who don't use MMT (whatever that is!) and then, in the farmers who use MMT there is a distance. If MMT distance is not applicable, then you have to put it as missing, not zero.
Are you trying to model whether the farmer uses MMT based on distance? If so, it can't be done, because there is no measure of distance in non-users.
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Hi,
As part of my doctoral research, I would like to conduct a moderation analyses wherein I wish to test the moderating effect four variables (a, b, c, d) has upon the relationship between three independent variables and two dependent variables.
However, variables a, b, and c are all significantly correlated with one another.
I guess my first question is: is this an issue?
If it is, is there an agreed upon rule as to which of the three correlated moderators I should remove from the model? ie. Should I remove the two variables which moderate the least when I do them individually? Should I remove those that are, perhaps, theoretically less likely to moderate?
Any help would be greatly appreciated!
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When you say, "variables a, b, and c are all significantly correlated with one another" do you mean "statistical significance"? Statistical significance just means that we think the correlation is not zero. In your context, you're more interested in whether the correlation is high as well as significant. High enough to make your estimates unreliable which, as David Eugene Booth suggested, is the result of multicollinearity. There isn't a fixed value for "high enough": IV's and Moderators with low multicollinearity will still create problems if the overall model coefficients are also low.
One approach is to see what happens to coefficients when you remove one of your moderators. If they change a lot then you have a multicollinearity problem. There are statistical tests to check if an apparent change in estimates is "statistically significant". Refer to a linear stat models book.
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How to describe the process of analyzing statistical data carried out with the help of Business Intelligence in Big Data database systems?
How to describe the main models of statistical data analysis carried out with the help of computerized Business Intelligence tools used for the analysis of large data sets processed in the cloud and analyzed multi-criteria in Big Data database systems?
Please reply
Dear Colleagues and Friends from RG
Some of the currently developing aspects and determinants of the applications of data processing technologies in Big Data database systems are described in the following publications:
The issues of the use of information contained in Big Data database systems for the purposes of conducting Business Intelligence analyzes are described in the publications:
I invite you to discussion and cooperation.
Best wishes
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Dear Friends and Colleagues of RG
How to describe the process of analyzing statistical data carried out with the help of Business Intelligence in Big Data database systems?
How to describe the main models of statistical data analysis carried out with the help of computerized Business Intelligence tools used for the analysis of large data sets processed in the cloud and analyzed multi-criteria in Big Data database systems?
Please reply
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The error message is as follows:
Warnings Box's Test of Equality of Covariance Matrices is not computed because there are fewer than two nonsingular cell covariance matrices.
However, the results are computed anyways.
I want to know what does it actually means.
Does it affect the overall results?
How to fix this error?
It should be noted that the sample size in my groups is different.
I would appreciate your guidance.
Baset
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Hello Abdulbaset,
In order for SPSS (which is what I presume you are using for analysis) to compute and report a Box M test (multivariate homogeneity of covariance matrices test, a test that is not needed if you are strictly sticking to univariate repeated measures designs), you need:
1. Two or more independent groups (e.g., at least one between-subjects factor).
2. Scores on two or more measures per case.
3. SOME variance for each measure within each group.
4. The scores must not be linearly dependent (e.g., score2 can't be a simple function of score1).
Conditions #1, #2, #3 don't impact whether a MANOVA can be executed or not; hence, you can get results (regardless of whether they are meaningful!). If condition #4 holds, SPSS will omit at least one variable from the MANOVA.
Good luck with your work!
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In statistically analyzing a data set, suppose we have to found some of the outliers, if necessary to remove them which method is appropriate?
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The answers given here to the original question fall into two categories: how to detect (usually by interquartile range or standard deviation) and what to do when the outliers are found using the answerer`s personal experience. At this point I would like to repeat the link to the article recommended by the user whose profile is deleted (it's a pity)
It includes all the answers given here so far and much more in the nice categorized way.
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My question is about p-value in r software. i am new to r software and i had taken a class where i were told that p-value should be above the 0.05 then the model can be considered as fit.
if anyone have some recommendation regarding this or opinion or suggestions i will appreciate.
thank you
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Dear Arsalan Haidar
When we want to test the significance of the estimated model then we have two test Statistics F and t test the rejection rule for each hypothesis test is :
Reject null hypothesis if p-vslue less than 0.05 then we conclud that the estimated model is good ness of fit
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Observation/data plays a crucial role in any kind of research study, in general and scientific research, in particular. But some people claim that the real skill exists in analysing those data statistically for interpreting the trend of research towards a meaningful conclusion.
What is your precious remark or view in this regard?
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The second (procedure of statistical analysis of data) cannot exist without the first [Actual observation (data)]. So, from this perspective, the first is more important than the second.
Regards
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Hi,
My design is quasi-experimental comparing estimated 30 new patients in an existing mental health service receiving specialist employment support with approximately 30 new patients in a comparison group from another service.
I want to measure pre-test and post-test (6 month) outcomes with both groups, using 3 assessments which each generate ordinal data (a QOL measure, and 2 other scales), as well as recording employment outcomes (in or out of employment).
I won’t be able to match the samples especially well. The 1 main confounding variable will be residence: inpatient in secure unit, inpatient in step-down hospital or community patient.
So!..the bit I find tricky is data analysis. This is what I think I should do, but would appreciate comments.
1) To compare improvements (difference between pre & post tests) for 2 samples for each of the 3 ordinal measures: Use Mann Whitney test to compare mean ranks
2) As above, but control for the 1 confounding variable through multiple regression analysis (Not sure if I should just weight the results, which is more simple)
3) Compare overall employment outcomes (%s) between groups using χ² to determine significance.
I think the above half makes sense! But is either a bit wrong or not detailed enough for the proposal. There is more analysis I think I will propose, but mainly want to get the main analysis right. Any comments very welcome!
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hi, can any one suggest which statistical analysis should i carry out of the ordinal data, i have collected. thanks
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Hello everyone, I performed an Interferon Y ELISA after a coculture of my cell lines transduced with vectors containing antigens and pbmcs transduced with 8 t cell receptors recognizing the antigens. My problem is that transduction efficiency between the tcrs is very different from 1% to 94%. I would like to analyze the Interferon y secretion on the basis of transduction efficiency, but I think I have to normalize my data. How can I do this? And what is the easiest way to do it? I am writing my master thesis and I don't have any experience in normalization yet. So it would be great, if somone has an idea. Thank you so much!
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Convert your raw data for interferon gamma elisa into a 8 t cell receptor -normalized value. The normalization can be done by dividing the IFN-g values by 8 t cell receptor values. Then calculate the fold change between the different controls and treatment groups.