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How to compare two population mean-paired samples?
100(1 − α)% Confidence Interval for the Difference Between Two Population Means: Paired Difference Samples where there are n pairs, ˉd is the mean and sd is the standard deviation of their differences. df = n − 1. The population of differences must be normally distributed.
How to test the significance of three samples?
I am comparing the statistical significance of the difference in means (say average age) using three samples (say classes) a, b, and c.
How is the difference of two population means tested?
Testing hypotheses concerning the difference of two population means using paired difference samples is done precisely as it is done for independent samples, although now the null and alternative hypotheses are expressed in terms of μd instead of μ1 − μ2. Thus the null hypothesis will always be written
Do you use ANOVA for three means comparison?
Because of that, I’d do a one-way ANOVA. There would be no harm in that because a significant F value would indicate that at least two of your three groups differ from each other (possibly / probably Groups 1 and 2 and/or 1 and 3).
How to compare sample sizes between two groups?
The goal of the analysis is to compare proportions of successes between the two groups. The relevant sample data are the sample sizes in each comparison group (n 1 and n 2) and the sample proportions ( ) which are computed by taking the ratios of the numbers of successes to the sample sizes in each group, i.e.,
Where is the proportion of successes in sample 1?
Where is the proportion of successes in sample 1, is the proportion of successes in sample 2, and is the proportion of successes in the pooled sample. is computed by summing all of the successes and dividing by the total sample size, as follows:
How are confidence intervals computed for paired sampling?
When the data are collected in pairs, the differences computed for each pair are the data that are used in the formulas. A confidence interval for the difference in two population means using paired sampling is computed using a formula in the same fashion as was done for a single population mean.