Three varieties A, B, C are tried in 3X3 Latin Square Design and the yield per plot is obtained as follows. Take data and the analyze according to given conditions   column column column row A 8 B 9 C 7 row B 11 C 8 A 6 row C 12 A 7 B 8 Test the hypothesis that varieties have same yield? Are the rows and columns effective in reducing the error variance?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Three varieties A, B, C are tried in 3X3 Latin Square Design and the yield per plot is obtained as follows. Take data and the analyze according to given conditions

 

column

column

column

row

A

8

B

9

C

7

row

B

11

C

8

A

6

row

C

12

A

7

B

8

  1. Test the hypothesis that varieties have same yield?
  2. Are the rows and columns effective in reducing the error variance?
  • If the same experiment is repeated 3 times and results of the other two Latin Squares are
  • A

    11

    B

    9

    C

    13

    B

    12

    C

    10

    A

    11

    C

    9

    A

    12

    B

    8

  • A

    10

    B

    11

    C

    12

    B

    10

    C

    9

    A

    11

    C

    11

    A

    14

    B

    15

  •  
  • Use multiple Latin Square and Cross Over Designs to analyze data taken according to your study area?

  •  
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