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How do you determine if you should use two-sample t procedures or paired t procedures?
In this case, two-sample t-test should be applied to compare the mean values of two samples. On the other hand, if the observations in the first sample are coupled with some particular observations in the other sample, the samples are considered to be paired.
Is it appropriate to use the two-sample t procedures?
A two-sample t-test is used when you want to compare two independent groups to see if their means are different.
How do you interpret the p-value for a two sample t test?
Usually, a significance level (denoted as α or alpha) of 0.05 works well. A significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference. If the p-value is less than or equal to the significance level, the decision is to reject the null hypothesis.
What is the formula for a paired t test?
The probability associated with the Student’s paired t-test with a 1-tailed distribution for the two arrays of data below can be calculated using the Excel function. The T-Test formula in excel used is as follows: =TTEST(A4:A24,B4:B24,1,1) The output will be 0.177639611.
When to use the Z-test versus t-test?
Z-test is a statistical hypothesis test that follows a normal distribution while T-test follows a Student’s T-distribution.
What assumptions are made when conducting a t-test?
The common assumptions made when doing a t-test include those regarding the scale of measurement, random sampling, normality of data distribution, adequacy of sample size and equality of variance in standard deviation.
What are paired t test assumptions?
The paired sample t-test has four main assumptions: • The dependent variable must be continuous (interval/ratio). • The observations are independent of one another. • The dependent variable should be approximately normally distributed. • The dependent variable should not contain any outliers.