In: Statistics and Probability
Know when to use:
1. one sample z-test
2. paired sample test
3.one way anova test
4. correlation
5. regression
6 chi square "Goodness of fit" test
7. chi square "Test of independnece"
1) The one-sample Z test is used only for tests of the sample mean. Thus, our hypothesis tests whether the average of our sample (M) suggests that our students come from a population with a know mean (m) or whether it comes from a different population.
2)A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample.
3) The one-way analysis of variance (ANOVA) is used to determine whether there are any statistically significant differences between the means of two or more independent (unrelated) groups (although you tend to only see it used when there are a minimum of three, rather than two groups).
4)In general, correlation tends to be used when there is no identified response variable. It measures the strength (qualitatively) and direction of the linear relationship between two or more variables. The Pearsoncorrelation coefficient measures the strength of the linear association between two variables.