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Prove F test is equal to T test squared

I need to show that F test is equal to T test squared, when the T test is for 2 independent groups and assuming variances are equal. I know that $F=frac{MSB}{MSW}=frac{SSB/k-1}{SSW/N-K}$ and I know...

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t.test and permutation test results providing totally divergent answers

I have a data set with two classes and completely unbalanced samples sizes between the two classes. Note that even though I am showing some R code here, this is not a programming question. head(df)...

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Pair t-test or Welch's t-test on a non-normal data series?

I have rainfall time series of 85 points from 1901-2013. I want to check whether the mean rainfall during 1901-1970 is significantly different than that of the mean rainfall during 1971-2013. Here, the...

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What does a negative t-value of an independent variable imply in Stata?

What does a negative t-value of an independent variable imply in Stata? if p-values do not appear in the table, what does the negative t-value of an independent variables imply?

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Campare expression of genes using geo data set

I have a data set of gene expression of 2 groups (study and cintrol). i would like to compare if specific genes in the two groups (genes which i chose) are expressed diffetently on the 2 groups. Would...

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Test for significance of peaks (maximum) in time series

I have a time series of values, something like this: value 2015-12-01 577 2015-12-02 672 2015-12-03 793 2015-12-04 1733 2015-12-05 3441 2015-12-06 2765 2015-12-07 3084 2015-12-08 2624 2015-12-09 1896...

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Why is my post-hoc anova test not significant, while a t test is?

I am comparing fluorescence levels in baseline condition, after a pretreatment, and after a treatment with a drug. The statistical software I am using is GraphPad prism. Using a paired t-test, I have...

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Statistic on non-normalized data

Not that strong in statistics, so I need a little help getting started with some data I’ve gathered. In my experiment subjects had to perform tasks while I took time for them to complete it. Now, I...

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Outlier transformation or no transformation?

I have two group’s of 25 people each. I want to know if there a difference between them on a past experience of happiness . I have a test with 100 question in it and all question have an a and b...

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Paired samples t-test (within-subjects) shows significant effect, BUT no main...

Running some data looking at pseudoneglect: participants viewed figures that either had no change or small change in either left or right visual fields. t-test gave a signficant result, with evidence...

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