1. What is ANOVA? When it used? How does is used? EXPLAIN clearly but briefly. 2
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Question
1. What is ANOVA? When it used? How does is used? EXPLAIN clearly but briefly. 2. Three different nutrition programs are being studied. Five rats are randomly chosen for each of the three programs, producing the following ANOVA table. Determine the values for the letters which represent missing data. 3. What is your further conclusion? 4. Explain briefly what further analysis, if any, is appropriate for this problem. V. In order to evaluate patient response to a new therapy for treatment of brain tumors, a sample of 300 patients showed that 196 had a positive response to the treatment. Use the sign test with alpha = 0.05 to text the claim that a majority of patients respond positively to the treatment.Explanation / Answer
What is ANOVA?
ANOVA is a analysis of variance is a arithmetical method in which the variation in set of observations is alienated into distinct components
When it is used
it is intended for group average and determines whether there is sampling error or true population difference
how does it works
ANOVA is used to evaluate differences of means amongst more than two groups. It does this by looking at difference in the data and where that variation is found. ANOVA compares the quantity of variation between groups with the quantity of variation within groups
from the ANOVA table
a= sum of the square with in =46-30 =16
b= Degrees of freedom df(between) = no. groups -1 =3-1 =2
d= sample size = 5 total 5 rats
c= Degrees of freedom df(with in) =d-b =5-2 =3
e= mean of sum of the squares of SS(Between) = SS /b = 30/2 =15
f= mean sum of the squares of SS(within) =a/c =16/ 3 =5.333
F= test statistic =e/f =15/5.33 = 2.8142 =g
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