anova - Mean wheat Treatment 1 Treatment 2 Treatment 3...

Info iconThis preview shows pages 1–10. Sign up to view the full content.

View Full Document Right Arrow Icon
Treatment 1 5 bushels/acre Treatment 2 7 bushels/acre Treatment 3 6 bushels/acre Treatment 4 8 bushels/acre Mean wheat x
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Is there any significant difference in means ? or Are the obtained means due to chance only ?
Background image of page 2
Definition of ANOVA Definition: Analysis of the variance is the simultaneous testing of two or more treatment means by examinations of the variances within groups (treatments). The t-test can test the difference between two means of two groups, but not more than two. Even though the ANOVA is an analysis of variances among data, its primary use is the test of differences among the group means.
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
ANALYSIS OF VARIANCE 1. One way classification or one factor experiments 2. Two way classification or two factor experiments
Background image of page 4
One-Way Classification (Fixed-Effect) • The term “one way classification” refers to the fact that only one factor is being studied in the experiment. • The term “fixed effect” refers to the fact that the treatments of the factor involved are specifically selected by experimenter because they are of particular interest.
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
1. One way classification ……………………………… …………. .. Treatment a Treatment 2 Treatment 1 b x x x 1 12 11 ..... .......... b x x x 2 22 21 ..... .......... ab a a x x x ..... .......... 2 1 . 1 x . 2 x . a x
Background image of page 6
a j x b x b k jk j ....... , , 2 , 1 , 1 1 . = = = ∑∑ = = = == k j jk a j b k jk x ab a j x ab x , 11 1 ....... , , 2 , 1 , 1
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
( ) () = = + = = j j B k j j jk W B W k j jk x x b V x x V V V x x V 2 , 2 2 , . . where Total Variation
Background image of page 8
Problem 1. Table below shows the yields in bushels per acre of a certain variety of wheat grown in a particular type of soil treated with chemicals A, B or C.
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 10
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 33

anova - Mean wheat Treatment 1 Treatment 2 Treatment 3...

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online