Question

A new student in the program is interested in doing a study that seeks to understand why people receive shorter or longer prison sentences - seeks to explain the variation that exists in prison sentences. He believes that offenders might receive different sentence lengths based on the type of crime they commit. There are three types of crimes (drug offense, property offense, violent offense). He conducts an ANOVA test, but needs some guidance on background concepts related to the test.

Using this example, explain the concepts of "variance," "within group variance," and "between group variance" as it relates to ANOVA in this situation using your own words.

Answer 1

here three treatements are there

Drug offence

Property offence

Violent offence

in the the group drug offence, the each offence may differ from each other. the age of the criminal, situation, loss caused by the crime etc. these are the variations in the same group of crime

similiarly in these other two group also, there are internal variance among the crimes in the same group. these variance is named as within group variance.

These three goup of crimes are diffrent in the penal code, punishment to be given, etc.

That is, there is varinces among these three group of crimes. each group is varried in leading the sentences.

this type of variance is named as between group variance.

the data related to the impressionment is the result of these two type of variance.