Chapter 4. The One-Sample t-Test

  • 4.1 Introduction 55

  • 4.2 Synopsis 55

  • 4.3 Examples 56

  • 4.4 Details & Notes 63

4.1 Introduction

The one-sample t-test is used to infer whether an unknown population mean differs from a hypothesized value. The test is based on a single sample of 'n' measurements from the population.

A special case of the one-sample t-test is often used to determine if a mean response changes under different experimental conditions by using paired observations. Paired measurements most often arise from repeated observations for the same patient, either at two different time points (e.g., pre- and post-study) or from two different treatments given to the same patient. Because the analyst uses the changes (differences) in the paired measurements, ...

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