Analysis of Qualitative Data. New Developments - download pdf or read online

By Shelby J. Haberman

ISBN-10: 0123125022

ISBN-13: 9780123125026

Research of Qualitative facts

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99) 2q(k)+l Computation of maximum likelihood estimates. 99) may be computed separately for each /c, 1 < k < 5, from the 2 x 21 x v(k) table of counts n^eEkK, 1 < s < 2, 0 < y < 20, 1 < e < v(k\ where nsSyEkK subjects h have sex Sh = 5, education 7Λ = y, and response pair (Eh, Kh) = (e, k). For example, ηψ0\\ = 0 and η\γ0Ε2* = 2. ylK > 0 be the conditional probability PE:kKh that £,, = e if Sh = e, Yh = y, and Kh = k. 97) is equivalent to the log-linear model 3q(k) log < J * = «&* + Σ Α**Ϊ£*. 101) if = — if = 1, and iy = >; — 10.

96) to the likelihood-ratio chi-square statistic for the model log P f £ = o f ? + Σ ßitXeua, Kh = k. 98) An alternate model also examined in this section ignores the sex effects Zee'ik but not the education effects i£e>lk. Thus Q(k) 3q(k) logP££ = 4 , K + ZßlkXekhl+ Σ /-l l= ßtk X em, Kh = k. 99) 2q(k)+l Computation of maximum likelihood estimates. 99) may be computed separately for each /c, 1 < k < 5, from the 2 x 21 x v(k) table of counts n^eEkK, 1 < s < 2, 0 < y < 20, 1 < e < v(k\ where nsSyEkK subjects h have sex Sh = 5, education 7Λ = y, and response pair (Eh, Kh) = (e, k).

12. To illustrate the nature of these scores, consider qfx and qf2 · The ortho­ gonality condition holds since Σΐηΐ* = ( - 3 ) 0 ) + ( - 1 X - 1 ) + ( D ( - l ) + (3)(1) = 0. · I J /" 1 2 f 1 3 1 - 3 1 2 - 1 - 1 3 1 - 1 4 3 1 1 3 1 3 2 3 4 1 - 5 5 - 5 2 3 1 7 3 - 1 - 4 4 4 1 - 4 - 4 5 3 - 1 - 7 6 5 5 5 3 5 1 - 1 5 2 -10 2 10 -3 -5 1 1 The score qf2 is a polynomial of degree 2 in the i/,, since Hi! — ui 4· For tables of orthogonal-polynomial scores, see Fisher and Yates (1963, pp. 98-108), DeLury (1960), and Pearson and Hartley (1966, pp.

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Analysis of Qualitative Data. New Developments by Shelby J. Haberman


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