ABSTRACT
The Chi-Square Goodness of Fit test is used to test if the sample is a good representation of the population—if the sample basically matches the population on a given variable or if a hypothesized difference exists between the sample and the population. The test compares the observed values to the values social worker would expect to get from the population they took the sample from. The Chi-Square Goodness of Fit is appropriate for categorical data to determine if the sample is representative of the population while the Kolmogorov-Smirnov 1 Sample is appropriate for ordinal, interval or ratio data to determine normality and thus representative of a normal population. There are three different types of t-tests: comparing a group mean to a population mean, comparing two group means and paired group comparing the mean of the same group at one point in time to its mean at another point in time.
