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Inferential StatisticsInferential Statistics
Significance TestingSignificance Testing
Chapter 4Chapter 4
Important TermsImportant Terms
• Null hypothesis
• Significance
• Probability of error (alpha levels)
• Confidence level
• Independent t test
• Dependent t test
AssumptionsAssumptions
• Group studies – comparing experimental group with control group
• Representative values to describe performance in both groups – mean and Sd
• Probability of replication
Comparing Mean ValuesComparing Mean Values
• Mean values will be different
• Caused by chance or caused by IV
Null HypothesisNull Hypothesis
• Any observable difference between two mean values is simply due to chance
• Significance testing either accepts or rejects null hypothesis
• Acceptance means that observable difference was due to chance
• Rejection means the IV caused the change
CalculationCalculation
• Independent t-test
• Non independent t-test
• See pp. 87-109 in supplemental readings
Independent t-testIndependent t-test
• To determine significance between two independent groups, i.e., experimental group and control group
• Experimental group receives IV; control group does not
• Was the difference between experimental group mean and control group great enough to state significance?
SignificanceSignificance
• In essence, what is the likelihood that the group that receives the IV will score higher than the group who does not?
• In essence, what is the probability that the group who receives the IV will not score higher than the group who does not?
• In essence, how confident are you that the group who receives the IV will score higher than the group who does not?
Alpha LevelsAlpha Levels
• The symbol p means probability of error
• An alpha level of .05 means probability of error is less than 5 out of 100 times that the IV group might not score higher
• Or, 95% of the times the IV group will score higher
• See p. 307 in textbook Appendix C
Alpha levels (cont.)Alpha levels (cont.)
• An alpha level of .01 means that less than 1 out of 100 times the IV group might not score higher
• Or, 99% of the times the IV group will score higher
• What about an alpha level of .001?
Non independent t-testNon independent t-test
• To determine significance between pre and post tests within one group
• One group, two treatments
• Examples