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Lecture 6

# Lecture 6

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Ryerson University

Quantitative Methods

QMS 202

Clare Chua

Winter

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2132011 Frequently asked Question How do you differentiate independent and dependent samples? Two samples are independent: the Lecture 6 sample selected from one population is not related to the samp ple selected from Chapter 11 the second population. Section 11.5 The two samples are dependent: each One-Way ANOVA for Differences among more than two means member of one sample corresponds to a member of the other sample. Dependent samples are also called paired samples or matched samples. Hypothesis Test Hypothesis Test Hypothesis Test One Population Two Populations One Population 2 MEANS 2 Proportions Sample Population Mean, Population Independent Sample Proportions, p dependent Check the 4 conditions Normal? No STOP If yes known unknown Arrenppnddaan Yess Paired t-test n(1-p)5 Z-test No No 81and 2 known? Equal 8 ? unequal 8 Is pop normal? Is pop normal? Z-test Yes Yes T-test Pooled variance Z-test Pooled Variance t-test Z-test T-test Hypothesis Test Hypothesis Test More than One-Way ANOVA (ANalysis Of Two Population Two Populations c MEANS c Proportions VAriance) Compare means of more than two groups Sample Sample Check the One-way ANOVA, deals with one factor of Independent dependent conditions interest (e.g. performance, salary, etc) If yes Analyzing the variation within groups and Levenes test KKeennW tteesstt, W Cochrans Q Chi-square beetweeenn grroupps Equal Variance unequal Variance Test Partitioning the TOTAL Variation : SST = SSA +SSW STOP Among Group Variation One-Way ANOVA Non-parametric test SSA Total Variation df=c-1 ConditionsAssumptions: SST c= number of groups 1. Randomness and independence df=n-1 Within Group Variation 2. Normality Note: n=total number of values in all SSW 3. Homogeneity of variance groups df=n-c n= n1+n2+n3+ 1 www.notesolution.com

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