Using the Sobel Test Online Calculator
The authors of the article tested the mediation hypothesis (that part of the reason the gun manipulation increases aggression is by increasing testosterone, which, in turn, increases aggression) with the Sobel test using this online calculator.
Note that a = 61.374, b = .065, sa = 14.615 and sb = .027.
Thus, when you go to the online calculator, read the instructions. Then, when you get to this box,
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|Input: |
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|Test statistic: |
|p-value: |
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|a |
|[pic] |
|Sobel test: |
|[pic] |
|[pic] |
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|b |
|[pic] |
|Aroian test: |
|[pic] |
|[pic] |
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|sa |
|[pic] |
|Goodman test: |
|[pic] |
|[pic] |
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|sb |
|[pic] |
|[pic] |
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Then, enter the data from above, like so:
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|Input: |
| |
|Test statistic: |
|p-value: |
| |
|a |
|[pic] |
|Sobel test: |
|[pic] |
|[pic] |
| |
|b |
|[pic] |
|Aroian test: |
|[pic] |
|[pic] |
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|sa |
|[pic] |
|Goodman test: |
|[pic] |
|[pic] |
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|sb |
|[pic] |
|[pic] |
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After inputting those values and pressing the return key, your results would look like the following table
| |
|Input: |
| |
|Test statistic: |
|p-value: |
| |
|a |
|[pic] |
|Sobel test: |
|[pic] |
|[pic] |
| |
|b |
|[pic] |
|Aroian test: |
|[pic] |
|[pic] |
| |
|sa |
|[pic] |
|Goodman test: |
|[pic] |
|[pic] |
| |
|sb |
|[pic] |
|[pic] |
|Calculate |
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If you scroll down to the second calculator,
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|Input: |
| |
|Test statistic: |
|p-value: |
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|ta |
|[pic] |
|Sobel test: |
|[pic] |
|[pic] |
| |
|tb |
|[pic] |
|Aroian test: |
|[pic] |
|[pic] |
| |
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|Goodman test: |
|[pic] |
|[pic] |
| |
| |
|[pic] |
|Calculate |
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you can enter the values for ta (the t value calculated when testing whether the relationship between condition [game versus gun] and testosterone was significantly different from zero) and for tb (the t value calculated when testing whether the relationship between testosterone changes and aggression was significantly different from zero). Thus, you would enter ta ( (4.199) and tb (2.404), like so:
| |
|Input: |
| |
|Test statistic: |
|p-value: |
| |
|ta |
|[pic] |
|Sobel test: |
|[pic] |
|[pic] |
| |
|tb |
|[pic] |
|Aroian test: |
|[pic] |
|[pic] |
| |
| |
|Goodman test: |
|[pic] |
|[pic] |
| |
| |
|[pic] |
|Calculate |
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If you do that, you should end up with the following results:
Top of Form
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|Input: |
| |
|Test statistic: |
|p-value: |
| |
|ta |
|[pic] |
|Sobel test: |
|[pic] |
|[pic] |
| |
|tb |
|[pic] |
|Aroian test: |
|[pic] |
|[pic] |
| |
| |
|Goodman test: |
|[pic] |
|[pic] |
| |
| |
|[pic] |
|Calculate |
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