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Meaning of T-test
The one-sample t-test is used to determine whether a sample comes from a population with a specific mean. This population mean is not always known, but is sometimes hypothesized.
For example
you want to show that the new cultivation method for Carrot helps to grow carrot better than the mean growth of carrot with other methods.
When to do T-test
When we plan to analyse our data using a one-sample t-test, this process involves checking to make sure that the data we want to analyse can actually be analysed using a one-sample t-test.
- The data must be Quantitative. Your dependent variable should be measured at the interval or ratio level.
- The data are independent (i.e., not correlated/related), which means that there is no relationship between the observations.
- Your dependent variable should be approximately normally distributed.
- No outliers.
How to Test using T-test using SPSS
Following are the steps to use t-test with spss.
- Click Analyze > Compare Means > One-Sample T Test
- You will be presented with the One-Sample T Test dialogue box. Transfer the dependent variable into the Test Variable(s) box.
- In the test value box, give the mean value (assumed/expected). In case of our carrot example we give 8 inches in the mean value.
- Click the Continue button and then OK button.
Inference of T test
In our example, p < .05 (it is p = .022). Therefore, it can be concluded that the population means are statistically significantly different. That is the growth of carrot is different than the other methods which normally grows 8 inches.
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