compare variances of two populations
· understand the testing of hypothesis for comparing three or more population means.
· differentiate Treatments and Blocks.
· differentiate one-way and two-way Analysis of Variance.
· calculate F-ratio for Treatments and Blocks.
· infer by comparing the estimated and critical values.

**TESTS BASED ON SAMPLING DISTRIBUTIONS – II**

**Sir Ronald Aylmer Fisher **(1890–1962) was a
British statistician and geneticist.** **His work in statistics, made him
popularly known as “a genius who almost single-handedly created the foundations
for modern statistical science” and “the single most important figure in 20^{th}
century Statistics”. In genetics, his work used Mathematics to combine
Mendelian Genetics and natural selection and this contributed to the revival of
Darwinism in the early 20^{th} century revision of the Theory of
Evolution.

*“Natural selection is a mechanism for generating an exceedingly
high degree of improbability”*

*“The Best time to plan an experiment is after you have done it”*

*“The analysis of variance is not a mathematical theorem, but
rather a convenient method of arranging the arithmetic”*

The students will be able to compare variances of two populations

·
understand the testing of hypothesis for comparing three or more
population means.

·
differentiate Treatments and Blocks.

·
differentiate one-way and two-way Analysis of Variance.

·
calculate F-ratio for Treatments and Blocks.

·
infer by comparing the estimated and critical values.

In the previous chapters, we have discussed various concepts used
in testing of hypotheses and problems relating to means of the populations.
Although many practical problems involve inferences about population means or
proportions, the inference about population variances is important and needs to
be studied. In this chapter we will study (i) testing equality of two
population variances (ii) one-way ANOVA and (iii) two-way ANOVA, using *F*-distribution.

Tags : Tests Based on Sampling Distributions II , 12th Statistics : Chapter 3 : Tests Based on Sampling Distributions II

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12th Statistics : Chapter 3 : Tests Based on Sampling Distributions II : Introduction | Tests Based on Sampling Distributions II

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