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STAT 401 EXPERIMENTAL DESIGN AND ANALYSIS Assist.Prof.Dr. R. Serkan Albayrak Department of Business Administration Yaşar University.

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Presentation on theme: "STAT 401 EXPERIMENTAL DESIGN AND ANALYSIS Assist.Prof.Dr. R. Serkan Albayrak Department of Business Administration Yaşar University."— Presentation transcript:

1 STAT 401 EXPERIMENTAL DESIGN AND ANALYSIS Assist.Prof.Dr. R. Serkan Albayrak Department of Business Administration Yaşar University

2 INTRODUCTION TO ANOVA CASESCORECASESCORE 55 55 55 55 55

3 CASESCORECASESCORE 5+2=75-2=3 5+2=75-2=3 5+2=75-2=3 5+2=75-2=3 5+2=75-2=3

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5 The third step is to complete the GLM with addition of error. CASESCORECASESCORE 5+2+2=95-2+0=3 5+2+0=75-2-2=1 5+2-1=65-2+0=3 5+2+0=75-2+1=4 5+2-1=65-2+1=4

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7 Standard Setup for ANOVA Sum 93 71 63 74 64

8 Sum of squares for treatment The effect of the IV!!! Sum of squares for treatment The effect of the IV!!! Sum of squares for error Each term is then squared and summed seperately to produce the sum of squares for error and the sum of squares for treatment seperately. The basic partition holds because the cross product terms vanish.

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14 Source table for basic ANOVA SourceSSdfMSF A401 26.67 S/A1281.5 T529

15 Distribution of SSE, SST

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19 What is the expected value of F under NULL?

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