The Transitivity Misconception of Pearson’s Correlation Coefficient
نویسندگان
چکیده
Despite the relevance of correlational studies for most research domains, many students, teachers, and researchers alike hold misconceptions concerning the Pearson product-moment correlation coefficient. One of these, the transitivity misconception, has not yet been documented in a systematic way. This paper summarizes the first empirical study, using 279 university students, and examines the relationship between student-based and task-based factors and the appearance of this misconception. In particular, two task-based factors seemed to have a significant effect on its appearance. In addition, the respondents’ level of confidence in their answer to the transitivity item was significantly lower than for most other times.
منابع مشابه
Towards a Localized Version of Pearson’s Correlation Coefficient
Pearson’s correlation coefficient is used to describe dependence between random variables X and Y . In some practical situations, however, we have strong correlation for some values X and/or Y and no correlation for other values ofX and Y . To describe such a local dependence, we come up with a natural localized version of Pearson’s correlation coefficient. We also study the properties of the n...
متن کاملCOMPARISON OF VALUES OF PEARSON’S AND SPEARMAN’S CORRELATION COEFFICIENTS ON THE SAME SETS OF DATA jan hauke, tomasz kossowski
Spearman’s rank correlation coefficient is a nonparametric (distribution-free) rank statistic proposed by Charles Spearman as a measure of the strength of an association between two variables. It is a measure of a monotone association that is used when the distribution of data makes Pearson’s correlation coefficient undesirable or misleading. Spearman’s coefficient is not a measure of the linea...
متن کاملComparison of values of Pearson’s and Spearman’s correlation coefficient on the same sets of data
Spearman’s rank correlation coefficient (denoted here by rs) is a nonparametric (distribution-free) rank statistic proposed by Charles Spearman as a measure of the strength of the associations between two variables. It is a measure of a monotone association that is used when the distribution of the data makes Pearson’s correlation coefficient undesirable or misleading. Spearman’s coefficient is...
متن کاملBiostatistics 104: correlational analysis.
If both height and weight are normally distributed, we use the Pearson’s correlation; otherwise Spearman’s correlation coefficient will be presented. Spearman’s correlation is also applicable for two categorical ordinal variables like pain intensity (no, mild, moderate, severe) with burn-surface-area (< 10%, 10% 19%, 20% 29%, ≥ 30%). Table I shows the correlation coefficient between height and ...
متن کاملPearson’s coefficient between intuitionistic fuzzy sets
The correlation coefficient (Pearson’s r) is one of the most frequently used tools in statistics. In this paper we discuss a correlation coefficient between Atanassov’s intuitionistic fuzzy sets (A-IFSs). We have constructed the coefficient so it provides the strength of the relationship between A-IFSs and also shows if the considered sets are positively or negatively correlated. Next, the prop...
متن کامل