# NESTED DESIGN _CYRILLA ALMAIDA_1706019734.docx - Name NPM...

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Name : Cyrilla Almaida Pili NPM : 1706019734 Batch : 2017 Assignment : Nested Design Problem and Solution Variance components for two-way nested design data Jaesung Choi Department of Statistics, Keimyung University, Korea I. Data II. Calculation a=3 b=4 n=3

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a. SS among groups SS among = 3 x 4 ( 5 12 13 12 ¿ 2 +( 1 3 13 12 ) 2 +( 7 6 13 12 ) 2 = 33,83 b. SS subgroups within groups SS subgroup = 3 x ( 0 + 5 12 ¿ 2 + ¿ …… +( 4 3 1 3 ) 2 + ¿ ….. +( 2 7 6 ) 2 + ¿ ….. = 3 x ( 8,861 + ¿ 9,1 + ¿ 2,75 ) = 62,133 c. SS within subgroups SS within = ( 1 0 ¿ 2 + ¿ …. +(− 2 + 3 ) 2 + ¿ …. +(

Unformatted text preview: 3 − 2 ) 2 = 17,3 + ¿ 23,3 + ¿ 22,6 = 63,26 d. SS Total SS Total = 33,83 + 62,133 + 63,26 = 159,2296667 e. dF among group 3-1 = 2 f. dF subgroups within group 3(4-1) = 9 g. dF within subgroups 3 x 4 (3-1) = 24 h. dF total 2+9+24 = 35 i. Mean Square MS Among = 33,83 2 = 16,915 MS Subgroup = 62,133 9 = 6,903667 MS Within = 63,26 24 = 2,63583 j. F-ratio F Among = 16,915 6,903667 = 2,45 F Subgroup = 6,903667 2,63583 = 2,615...
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