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02a one sample_t-test

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Madhusudhanan Balakumar
Madhusudhanan Balakumar

The document discusses a one-sample t-test used to compare sample data to a standard value. It provides an example comparing intelligence scores of university students to the average score of 100. The sample of 6 students had a mean of 120. Running a one-tailed t-test in SPSS, the results showed the mean score was significantly higher than 100 with t(5)=3.15, p=.02. This allows the inference that the population mean intelligence at the university is greater than the standard score of 100.

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The One-Sample t -Test Advanced Research Methods in Psychology - lecture - Matthew Rockloff
A brief history of the t-test ,[object Object],[object Object],[object Object]
[object Object],A brief history of the t-test (cont.)
A brief history of the t-test (cont.) ,[object Object],[object Object],[object Object],[object Object]
Thus ??? ,[object Object],[object Object]
When to use the one-sample t-test ,[object Object],[object Object],[object Object],[object Object]
Example problem 2.1 ,[object Object],[object Object],[object Object],[object Object],[object Object]
Example 2.1 (cont.) ,[object Object],[object Object],[object Object]
Example 2.1 (cont.) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Example 2.1 (cont.) ,[object Object],[object Object]
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Example 2.1 (cont.) ,[object Object],=
Example 2.1 (cont.) ,[object Object],[object Object],[object Object],[object Object]
Example 2.1 (cont.) Computing the sample variance 100 4 100 4 100 900 -10 - 2 -10 2 -10 30 120 120 120 120 120 120 110 118 110 122 110 150
Example 2.1 (cont.) Computing the sample variance 100 4 100 4 100 900 -10 - 2 -10 2 -10 30 120 120 120 120 120 120 110 118 110 122 110 150
Example 2.1 (cont.) Computing the sample variance ,[object Object],[object Object],[object Object],[object Object]
Example 2.1 (cont.) Computing the sample variance ,[object Object],[object Object],[object Object]
[object Object],[object Object],Example 2.1 (cont.) Computing the sample variance
Example 2.1 (cont.) Computing the sample variance Our sample has ‘ n = 6’ people, so the degrees of freedom for this t-test are: dn = n – 1 = 5 This degrees of freedom figure will be used later in our test of significance.
And now for something completely different … ,[object Object],[object Object],[object Object],[object Object],[object Object]
The ‘big picture’ ,[object Object],[object Object],Count 2 X 1 X X X 65 70 75 kg
The ‘big picture’ (cont.) ,[object Object],[object Object],[object Object],[object Object],Count 2 X 1 X X X - 1 0 1 t - statistic
The ‘t’ statistic (cont.) ,[object Object],[object Object]
The ‘t’ statistic (cont.)
The ‘t’ statistic (cont.) ,[object Object],[object Object],[object Object]
The ‘t’ statistic (cont.)
[object Object],[object Object],[object Object],Read this part over and over, and think about it. This is the tricky bit.
The ‘t’ statistic (cont.) ,[object Object],[object Object]
The ‘t’ statistic (cont.) ,[object Object],[object Object],[object Object]
And now, back to the computation… ,[object Object],[object Object],[object Object],[object Object]
Example 2.1 (again) ,[object Object],[object Object]
Example 2.1 (cont.) ,[object Object],[object Object],[object Object],[object Object]
Example 2.1 (cont.) ,[object Object],[object Object],[object Object],[object Object],[object Object]
Example 2.1 (still) ,[object Object],[object Object],[object Object]
What does the ‘critical value’ tell us? ,[object Object],[object Object],[object Object]
What happens if we do calculate a ‘t’ greater than 2.02? ,[object Object],[object Object],[object Object],[object Object]
Conclusions in APA Style ,[object Object],[object Object]
Statistical inference ,[object Object],[object Object],[object Object]
Example 2.1 Using SPSS ,[object Object]
Example 2.1 Using SPSS (cont.) ,[object Object]
Instructions for the Student Version of SPSS ,[object Object],[object Object],[object Object]
The ‘analyze’ menu
The ‘test variable’ ,[object Object],[object Object]
Instructions for Full Version of SPSS (Syntax Method) ,[object Object],[object Object],[object Object],[object Object]
The ‘file’ menu
SPSS syntax ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
TestVariable ,[object Object]
Results from SPSS Viewer ,[object Object]
SPSS calculations ,[object Object],[object Object],[object Object],[object Object]
SPSS calculations ,[object Object],[object Object],[object Object],[object Object]
Conclusions in APA Style ,[object Object],[object Object]
Big t  Little p ? ,[object Object],[object Object],[object Object]
Significance ,[object Object],[object Object]
Accepting the null hypthosis ,[object Object]
The One-Sample t -Test Advanced Research Methods in Psychology Week 1 lecture Matthew Rockloff Thus concludes

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02a one sample_t-test

  • 1. The One-Sample t -Test Advanced Research Methods in Psychology - lecture - Matthew Rockloff
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  • 18. Example 2.1 (cont.) Computing the sample variance 100 4 100 4 100 900 -10 - 2 -10 2 -10 30 120 120 120 120 120 120 110 118 110 122 110 150
  • 19. Example 2.1 (cont.) Computing the sample variance 100 4 100 4 100 900 -10 - 2 -10 2 -10 30 120 120 120 120 120 120 110 118 110 122 110 150
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  • 23. Example 2.1 (cont.) Computing the sample variance Our sample has ‘ n = 6’ people, so the degrees of freedom for this t-test are: dn = n – 1 = 5 This degrees of freedom figure will be used later in our test of significance.
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  • 59. The One-Sample t -Test Advanced Research Methods in Psychology Week 1 lecture Matthew Rockloff Thus concludes