T-test for Single Samples - Applied Statistics - Lecture Slides, Slides of Psychology

T Test for Single Samples, Analysis of Data, Sampling Distribution, Degrees of Freedom, Alpha Level, Number of Scores, Sample Standard Deviation, Data In Experiments, Standard Deviation is Unknown, Null Hypothesis Population are the important key points of lecture slides of Applied Statistics.

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2012/2013

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T-test for Single Samples
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T-test for Single Samples

Introduction

  • Use of the t test is indicated when:
    • Mean of the null hypothesis Population can be specified
    • Standard deviation is unknown (which also means that the z test cannot be used)
  • Uses covered in this chapter
    • Analysis of data in experiments with a single sample

Comparison of z and t tests

  • Difference between equations is that when σ is unknown we estimate it using s, the sample standard deviation
  • When this is done the resulting test is called the t test
  • is called the estimated standard error of the mean

s X

Sampling Distribution of t

  • Degrees of freedom (df)
  • The number of scores that are free to vary
    • df = N – 1