STAT 2050 Study Guide - Final Guide: Null Hypothesis, Prediction Interval, Dependent And Independent Variables

• School: University of Guelph
• Department: Statistics
• Course: STAT 2050
• Professor: Zeny Feng

Document Summary

I= population mean for ith group ni= sample size for ith group. Assumptions: within groups, between groups determine by nature of the data, normally distributed observations, equal variance among groups, allowing us to pool variance. Random errors of all observations ij"s are independent, identically n (0, 2) distributed for all treatment populations: yij ~ n (0, 2) Ha: at least one i k st. i k i,k =1,2 6. Estimate = yij/ n estimate 2 = (yij- y)2/n-1. Sstotal= (yij- y)2 variability of observations around overall mean: variability of group means around. )2 variability of observations around their group mean. Perform overall test to determine if there is a difference at all: h0: 1= 2= 3 n vs ha: at least one i k st. i k @ =0. 05. Hypothesis: compare within group variability to between group variability (ssbetween >>sswithin therefore, reject h0, assess the difference in group means taking background variability into account.