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Pearson product-moment correlation coefficient: Quiz


Question 1: The other aim is to construct a ________ around r that has a given probability of containing ρ.
Student's t-distributionStatistical hypothesis testingConfidence intervalNormal distribution

Question 2: are the standard score, sample ________, and sample standard deviation.
MedianMeanVarianceArithmetic mean

Question 3: It was developed by Karl Pearson from a similar but slightly different idea introduced by ________ in the 1880s.
Erasmus DarwinRonald FisherFrancis GaltonCharles Darwin

Question 4: For example, if z = 2.2 is observed and a two-sided p-value is desired, the p-value is 2Φ(−2.2) = 0.028, where Φ is the standard normal ________.
Cumulative distribution functionCharacteristic function (probability theory)VarianceProbability distribution

Question 5: Like many commonly-used statistics, the sample statistic r is not robust[10], so its value can be misleading if ________ are present[11][12].
Normal distributionBox plotMeanOutlier

Question 6: A 95% ________ for ρ can be defined as the interval spanning from the 2.5th to the 97.5th percentile of the resampled r values.
Student's t-distributionConfidence intervalNormal distributionStatistical hypothesis testing

Question 7: Early work on the distribution of the sample correlation coefficient was carried out by ________[6][7] and A.
Factorial experimentFrank YatesRonald FisherGeorge E. P. Box

Question 8: Note however that while most robust estimators of association measure ________ in some way, they are generally not interpretable on the same scale as the Pearson correlation coefficient.
Independence (probability theory)Expected valueContinuous probability distributionVariance

Question 9: The population Pearson correlation coefficient is defined in terms of moments, and therefore exists for any bivariate probability distribution for which the population covariance is defined and the marginal ________ are defined and are non-zero.
VarianceStandard deviationNormal distributionCorrelation and dependence

Question 10: In the case of the bivariate ________ the population Pearson correlation coefficient characterizes the joint distribution as long as the marginal means and variances are known.
Normal distributionProbability distributionGeneralized normal distributionStudent's t-distribution


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