Reanalyze the data using r-mode analysis

Reference no: EM131059807

Refer to Example 8.13 and Table 8.28

(a) Repeat the 0-mode analysis of Table 8.28 using the weights W_tand f₁ and compare to Williams (1978). What do you conclude?

(b) Reanalyze the data using R-mode analysis, that is, using the age distribution as the rows of the data matrix (Table 8.28). Can you determine the historical (time) behavior of the different age groups across race and sex?

Example 8.13

Williams (1978) provides a set of age-distribution histograms of the US population classified by sex, race, and the decade in which the census was taken (Table 8.28). The data are given in percentages and represent the (n x m) matrix p^T, scaled by 100. Note that the array P^T can also be taken as an r-way contingency table, which indicates the similarity of the method to procedures described in the preceding sections of the chapter. Since the discrete set x₁, x₂ , , x„ is here represented by time-ordered (age) categories, the elements of the latent vectors A_k(Eq. 8.75f) of the 𝒬-mode analysis of P can be plotted on a time axis and the global age-time behavior of the racial groups, by sex, can he observed. Note also that Williams chooses the total 1930 age distribution as the weights w_jand equal frequencies f_irather than the row and column totals of the Table 8.28 (Exercise 8.14).

Reference no: EM131059807

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