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Critical Values of Pearson's
When calculating a correlation coefficient manually without software, statistical significance is determined by comparing the sample value against critical values listed in a reference table for the corresponding sample size and alpha level. If the sample correlation is more extreme than the established critical value, the result is considered statistically significant.
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Research Methods in Psychology - 4th American Edition @ KPU
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When evaluating a manually calculated Pearson's , what condition indicates that the result is statistically significant?
When a researcher manually calculates a Pearson's , the correlation is deemed statistically significant if the calculated sample value is less extreme than the critical value found in a reference table.