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Correlation analysis is mostly conducted to determine if a relationship exists between variables. Regression analysis is used to determine the effect of one variable on the other. The technique to be used is based on what the researcher is looking at.
The chi-square test for association (contingency) is a standard measure for association between two categorical variables. The chi-square test, unlike Pearson's correlation coefficient or Spearman rho, is a measure of the significance of the association rather than a measure of the strength of the association.
A chi-square test is used when you want to see if there is a relationship between two categorical variables.
The p-value in the last column tells you the significance of the regression coefficient for a given parameter. If the p-value is small enough to claim statistical significance, that just means there is strong evidence that the coefficient is different from 0.
Two types of statistical methods are used in analyzing data: descriptive statistics and inferential statistics. Descriptive statistics are used to synopsize data from a sample exercising the mean or standard deviation. Inferential statistics are used when data is viewed as a subclass of a specific population.
The two main branches of statistics are descriptive statistics and inferential statistics. Both of these are employed in scientific analysis of data and both are equally important for the student of statistics.
Statistical Models. Statistical models use mathematical equations to encode information extracted from the data. In some cases, statistical modeling techniques can provide adequate models very quickly. Logistic regression is a statistical technique for classifying records based on values of input fields.
The marks for a group of students before (pre) and after (post) a teaching intervention are recorded below: Marks are continuous (scale) data. Continuous data are often summarised by giving their average and standard deviation (SD), and the paired t-test is used to compare the means of the two samples of related data.