1.) When using a t-test, if we accept the null then: a. the means of the subsamp
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Question
1.) When using a t-test, if we accept the null then:
a. the means of the subsamples must be very similar in value, in the purest sense they would be identical
b. the means of the subsamples would be wildly different
c. the medians would be wildly different
d. we really can't say anything about the means of the subsamples
2.)
Which of the following tests does not compare a sample's mean for an interval- or ratio-level variable with its population mean, but instead compares mean scores from two samples that may be different but related and measured once, or the same sample measured on two separate occasions.
a. dependent t-test
b. independent t-test
c. ANOVA
d. Wilcox sign test
a. the means of the subsamples must be very similar in value, in the purest sense they would be identical
b. the means of the subsamples would be wildly different
c. the medians would be wildly different
d. we really can't say anything about the means of the subsamples
Explanation / Answer
1) When using a t-test, if we accept the null then: a. the means of the subsamples must be very similar in value, in the purest sense they would be identical because t-test is to test equality of means of two different populations .
2) Which of the following tests does not compare a sample's mean for an interval- or ratio-level variable with its population mean, but instead compares mean scores from two samples that may be different but related and measured once, or the same sample measured on two separate occasions.
a. dependent t-test
To understand this answer , let us learn about dependent t-test .
What does this test do?
The dependent t-test (also called the paired t-test or paired-samples t-test) compares the means of two related groups to determine whether there is a statistically significant difference between these means.
What variables do you need for a dependent t-test?
You need one dependent variable that is measured on an interval or ratio scale (see our Types of Variable guide if you need clarification). You also need one categorical variable that has only two related groups.
What is meant by "related groups"?
A dependent t-test is an example of a "within-subjects" or "repeated-measures" statistical test. This indicates that the same participants are tested more than once. Thus, in the dependent t-test, "related groups" indicates that the same participants are present in both groups. The reason that it is possible to have the same participants in each group is because each participant has been measured on two occasions on the same dependent variable. For example, you might have measured the performance of 10 participants in a spelling test (the dependent variable) before and after they underwent a new form of computerised teaching method to improve spelling. You would like to know if the computer training improved their spelling performance. Here, we can use a dependent t-test because we have two related groups. The first related group consists of the participants at the beginning (prior to) the computerised spell training and the second related group consists of the same participants, but now at the end of the computerised training.
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