The ANOVA technique is designed to evaluate the null hypothesis that: a) Two populations have equal variance b) The mean of each treatment group is no

Nannie Mack 2021-01-02 Answered
The ANOVA technique is designed to evaluate the null hypothesis that: a) Two populations have equal variance b) The mean of each treatment group is no different from the mean of the pooled population c) The mean square error (MSE) of the treatment group is larger than the overall MSE Write down the sum of squares decomposition and explain, briefly, in your own words how the sum of squares decomposition is used to conduct statistical inference in ANOVA.
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firmablogF
Answered 2021-01-03 Author has 92 answers

The ANOVA technique is designeed to evaluate the null hypotesis that: b) The mean of each treatment group is no different from the mean of the pooled population. Sum of the square decompasition the total sum of square in the response variable is SST=(yiy)2 the total SS can be compose in the two main sources, error SS and regression SS. the error SS is SSE=ei2 the regression SS is SSR=b12(xix)2 Statistical inference: ANOVA:- Compare mean from more than two groups Are they so for apart That the difference cannot be attributed to sampling variability (i.e randomness) H0:μ1=μ2=...=μk Test statistic: F=variability be two groupsvariability within groups ANOVA table: SourceSSDFMSRegresion lineSSR1SSR/1=MSRErrorSSEn2SSE/n2=MSETotalSSTn1
R2=SSRSST=1SSESST
Fstat=MSRMSE

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