Compare and contrast the differences between a single sample t test and an independent samples t test. Next describe a hypothetical study using the design of an independent samples t test. List the two groups that you would test.
Diffrences
Sr.no | Single Sample t test | Independent sample test |
1 | Consists of only one sample | Consists of two samples that are independent and unrelated to each other |
2 | In hypothesis testing the mean is compared to a predefined value. | In hypothesis testing the mean of first sample is compared to the mean of second sample to determine whether there is significant diffrence between the two samples. |
3 | assumption of variance does not hold in single sample t test as we have only one sample. | Before performing the t-test the assumption of homoegeneity of variances should be satistified (variances of the two groups should be equal) |
Similiarities
1) Both tests are used to compare means
2) The dependent variable (that is the observations in the sample or samples) should be measured on a continuous scale.(Ratio or interval scale)
3) Observations should be independent of each other.
4) the dependent variable should be approximately normally distributed.
Example of independent sample t test
Independent sample t test can be used to test whether final year students marks differed based on their gender.
so here we will have two samples
sample 1 : Marks of final year Male students
sample 2 : Marks of final year Female students
Marks: dependent Variable
Gender : Independent variable
we will test the hypothesis that
H0 : 1=2 (Average marks obtained by male students is same as average marks obtained by female students)
against any one of the alternative hypothesis
H1 : 12 (Average marks obtained by male students differs significantly from average marks obtained by female students)
H1 : 1>2 (Average marks obtained by male students is greater than average marks obtained by female students)
H1 : 1< 2 (Average marks obtained by male students is less than average marks obtained by female students)
Compare and contrast the differences between a single sample t test and an independent samples t...
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