A researcher evaluating the significance of a Pearson correlation obtains r = 0.78 and is able to conclude that t = 1.34. Unfortunately, the researcher discovered an error in the original calculation. The actual r should have been - 0.78. Once this is fixed, what is the actual t statistic?

Question

Physics

Anthony Clay

13 August, 05:49

A researcher evaluating the significance of a Pearson correlation obtains r = 0.78 and is able to conclude that t = 1.34. Unfortunately, the researcher discovered an error in the original calculation. The actual r should have been - 0.78. Once this is fixed, what is the actual t statistic?

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Nylah Cochran · Answer 1

The actual t statistic is - 1.34.

Explanation:

In statistics, the t-statistic is the ratio of the departure of the estimated value of a parameter from its hypothesized value to its standard error. It is used in hypothesis testing.

Pearson's correlation is utilized when you have two quantitative variables and you wish to see if there is a linear relationship between those variables. Your research hypothesis would represent that by stating that one score affects the other in a certain way. The correlation is affected by the size and sign of the r.