Mr8 ms09

Marketing Research Analysis of Variance Lecture 8 Hamendra Dangi [email_address] 9968316938 H.K Dangi, FMS

Session Break Up ,[object Object],[object Object],[object Object],H.K Dangi, FMS

Relationship Among Techniques ,[object Object],[object Object],[object Object],H.K Dangi, FMS

Relationship Among Techniques ,[object Object],[object Object],[object Object],[object Object],H.K Dangi, FMS

Relationship Amongst Test, Analysis of Variance, Analysis of Covariance, & Regression H.K Dangi, FMS One Independent One or More Metric Dependent Variable t Test Binary Variable One-Way Analysis of Variance One Factor N-Way Analysis of Variance More than One Factor Analysis of Variance Categorical: Factorial Analysis of Covariance Categorical and Interval Regression Interval Independent Variables

Question for Discussion ,[object Object],[object Object],[object Object],[object Object],[object Object],H.K Dangi, FMS

One-Way Analysis of Variance ,[object Object],[object Object],[object Object],[object Object],H.K Dangi, FMS

Statistics Associated with One-Way Analysis of Variance ,[object Object],[object Object],[object Object],H.K Dangi, FMS

Conducting One-Way ANOVA H.K Dangi, FMS Interpret the Results Identify the Dependent and Independent Variables Decompose the Total Variation Measure the Effects Test the Significance Fig. 16.2

Conducting One-Way Analysis of Variance Decompose the Total Variation ,[object Object],[object Object],[object Object],H.K Dangi, FMS

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Conducting One-Way Analysis of Variance Decompose the Total Variation H.K Dangi, FMS Y Y S S y = ( Y i - Y ) 2  i = 1 N S S x = n ( Y j - Y ) 2  j = 1 c S S e r r o r =  i n ( Y i j - Y j ) 2  j c

Decomposition of the Total Variation: One-Way ANOVA H.K Dangi, FMS Independent Variable X Total Categories Sample X 1 X 2 X 3 … X c Y 1 Y 1 Y 1 Y 1 Y 1 Y 2 Y 2 Y 2 Y 2 Y 2 : : : : Y n Y n Y n Y n Y N Y 1 Y 2 Y 3 Y c Y Within Category Variation =SS within Between Category Variation = SS between Total Variation =SS y Category Mean Table 16.1

Conducting One-Way Analysis of Variance ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],H.K Dangi, FMS

Conducting One-Way Analysis of Variance Test Significance ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],H.K Dangi, FMS S y 2 S y 2

Conducting One-Way Analysis of Variance Test Significance ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],H.K Dangi, FMS F = S S x / ( c - 1 ) S S e r r o r / ( N - c ) = M S x M S e r r o r

Conducting One-Way Analysis of Variance Interpret the Results ,[object Object],[object Object],[object Object],H.K Dangi, FMS

Illustrative Applications of One-Way Analysis of Variance ,[object Object],[object Object],[object Object],[object Object],[object Object],H.K Dangi, FMS

Effect of Promotion and Clientele on Sales H.K Dangi, FMS Table 16.2

Illustrative Applications of One-Way Analysis of Variance ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],H.K Dangi, FMS Table 16.3 Y Y

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Illustrative Applications of One-Way Analysis of Variance H.K Dangi, FMS

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Illustrative Applications of One-Way Analysis of Variance H.K Dangi, FMS

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Illustrative Applications of One-Way Analysis of Variance H.K Dangi, FMS  F = S S x / ( c - 1 ) S S e r r o r / ( N - c ) = M S X M S e r r o r F = 106.067/(3-1) 79.800/(30-3)

[object Object],[object Object],Illustrative Applications of One-Way Analysis of Variance H.K Dangi, FMS   = 0.05

One-Way ANOVA: Effect of In-store Promotion on Store Sales H.K Dangi, FMS Table 16.4 Cell means Level of Count Mean Promotion High (1) 10 8.300 Medium (2) 10 6.200 Low (3) 10 3.700 TOTAL 30 6.067 Source of Sum of d f Mean F ratio F prob. Variation squares square Between groups 106.067 2 53.033 17.944 0.000 (Promotion) Within groups 79.800 27 2.956 (Error) TOTAL 185.867 29 6.409

[object Object],H.K Dangi, FMS

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],H.K Dangi, FMS

[object Object],[object Object],[object Object],H.K Dangi, FMS

Mr8 ms09

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