This is the type where an increase in one variable coincides with an increase in another variable. In this example both exam score and score move to the same positive direction
In this case, variables move in opposite directions. As one variable increases, the other variable decreases. In this example, more missed classes is related to a lower exam score.
In this case there is no visible relationship between the variables.
These are the major types of correlation analysis. Various methods are used to compute types of correlation.
This is the most commonly used. It is used to measure the degree of the relationship between linearly related variables. It is often abbreviated as r. For example, it could be used to measure the degree of the relationship between height and weight among teenagers. It is important to note that Pearson method is said to be significant if a sample size greater than 10 is used.
Some of the assumptions made are:
Point-biserial is the same as Pearson. The only difference is that in the point-biserial one of the variables is dichotomous. A dichotomous variable is a variable that has two levels such as gender which has male and female. The two even share the same formula of computation
This is a non-parametric statistical test that is used to examine the strength of dependence between variables. The formula used to calculate the value of Kendall rank is as shown below
nc = number of concordant (Ordered in the same way)
nd = number of discordant (Ordered differently)
n(n-1) = Total number of pairings with ab
This is also a non-parametric test which does not make any assumption about the distribution of data. Spearman is used to evaluate the degree of association between variables that are ordinal in nature. The following formula is used to calculate the Spearman’s rank coefficient
di = difference between the ranks of corresponding variables
n = number of observations
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