Download Statistics 1 by Keijo Ruohonen PDF

By Keijo Ruohonen

(Translation by way of Jukka-Pekka Humaloja and Robert Piché)

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Extra resources for Statistics 1

Sample text

In terms of expectations then E(Fi,j ) = gj pi = 1 E(Fi )gj n Cf. the binomial distribution again. (i = 1, . . , k ja j = 1, . . , l). The test statistics H and h and the approximative χ2 -distribution related to them are thus exactly the same as before in the test of independence. Example. As an example we consider a case, where the popularity of a proposed law was studied in USA. n = 500 people were chosen as follows: g1 = 200 Democrats, g2 = 150 Republicans and g3 = 150 independent. These people were asked if they were for or against the proposition or neither.

K ja j = 1, . . , l). The test statistics H and h and the approximative χ2 -distribution related to them are thus exactly the same as before in the test of independence. Example. As an example we consider a case, where the popularity of a proposed law was studied in USA. n = 500 people were chosen as follows: g1 = 200 Democrats, g2 = 150 Republicans and g3 = 150 independent. These people were asked if they were for or against the proposition or neither. The question of interest was, are the people with different opinions about the proposition identically distributed in different parties (this is H0 ).

Case letters are used to denote also random Furthermore, note that if y1 , . . , yn are considered to be random varivariables. The case can be ables or y is considered a random vector, then the expectation (vector) found out by its context. of y is Xβ. The matrix X is on the other hand a given matrix, which is There is a whole field of on how to make usually called the data matrix.

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