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The Spearman correlation coefficient is defined as the Pearson correlation coefficient between the rank variables. [6]For a sample of size , the pairs of raw scores (,) are converted to ranks [], [] , and is computed as
The associated grammatical category is degree of comparison. [1] The usual degrees of comparison are the positive , which simply denotes a property (as with the English words big and fully ); the comparative , which indicates great er degree (as bigger and more fully ); and the superlative , which indicates great est degree (as biggest and most ...
Pearson's correlation coefficient is the covariance of the two variables divided by the product of their standard deviations. The form of the definition involves a "product moment", that is, the mean (the first moment about the origin) of the product of the mean-adjusted random variables; hence the modifier product-moment in the name.
The only pair that does not support the hypothesis are the two runners with ranks 5 and 6, because in this pair, the runner from Group B had the faster time. By the Kerby simple difference formula, 95% of the data support the hypothesis (19 of 20 pairs), and 5% do not support (1 of 20 pairs), so the rank correlation is r = .95 − .05 = .90.
Tukey's range test, also known as Tukey's test, Tukey method, Tukey's honest significance test, or Tukey's HSD (honestly significant difference) test, [1] is a single-step multiple comparison procedure and statistical test.
The name of this formula stems from the fact that is the twentieth formula discussed in Kuder and Richardson's seminal paper on test reliability. [1] It is a special case of Cronbach's α, computed for dichotomous scores. [2] [3] It is often claimed that a high KR-20 coefficient (e.g., > 0.90) indicates a homogeneous test. However, like ...
[1] [15] A comparison is then made between the largest and smallest sample means within the largest range. [15] Assuming that the largest range is four means (or p = 4), a significant difference between the largest and smallest means as revealed by the Newman–Keuls method would result in a rejection of the null hypothesis for that specific ...
The mean word.recall in the 0 drug.dose group is 2. The mean word.recall in the 1 drug.dose group is 6. The difference between treatment groups in the mean word.recall is 6 – 2 = 4. The difference in word.recall between drug doses is significant (p=0.00805). Perform a linear regression of the same data.