## Example of an Independent Sample T test

Example of an Independent Sample T test

In this two-sample t test, the units of analysis were the 32 VHA hospitals.  The hospitals were scored as 1 if they were research institutions and 0 if not.  The research question was this: Is the average wait time in days for primary care visits significantly different between research and non-research hospitals?

H0: There is no significant difference in mean wait times for primary care visits between research and non-research hospitals.

H1: There is a significant difference in mean wait times for primary care visits between research and non-research hospitals.

The dependent variable is mean wait time in days for primary care visits.  The independent variable was research status (yes vs no).

Eleven hospitals were classified as research institutions and 21 were not. The mean number of days wait for primary care visits was 6.06 in research hospitals and 5.63 in other hospitals (Table 4).  The Levene’s test was not significant, so we can assume the variances are equal.  The p value for the t test was .710, indicating no significant difference between the groups (Table 5).  We can accept the null hypothesis.  The mean wait time in days is not different in research hospitals and non-research hospitals in this sample. Effect size (Table 6) is not relevant since there is no significant difference between the means.

Table 4

Table 5

Table 6.

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