The following models were proposed for a binary response y and explanatory variables x1,x2,x3 , where p is the probability of success for the variable y. () p(21, 22,23) = exp(-exp(-ß1²1 – B2#2 – B3#3)) (1) p(#1 ,#2;23) = exp(B1 #1+B2x2) 1+exp(81²1+B2#2) (ii) p(#1,#2 , 23) = exp(-exp(-8o – ß1#1 – 82#2 – B12#1#2)) (iv) p(z1, 2, 23) = exp(-exp(-ßo – B1²1 – B2 x2)) %3D (V) p(21,#2, 23) 1+exp(Bo+B1¤1+B2.#2+B12#1#2) Select the correct statement(s): Models (i) and (ii) are nested O Models (ii) and (iii) are nested O Models (ii) and (iv) are nested
The following models were proposed for a binary response y and explanatory variables x1,x2,x3 , where p is the probability of success for the variable y. () p(21, 22,23) = exp(-exp(-ß1²1 – B2#2 – B3#3)) (1) p(#1 ,#2;23) = exp(B1 #1+B2x2) 1+exp(81²1+B2#2) (ii) p(#1,#2 , 23) = exp(-exp(-8o – ß1#1 – 82#2 – B12#1#2)) (iv) p(z1, 2, 23) = exp(-exp(-ßo – B1²1 – B2 x2)) %3D (V) p(21,#2, 23) 1+exp(Bo+B1¤1+B2.#2+B12#1#2) Select the correct statement(s): Models (i) and (ii) are nested O Models (ii) and (iii) are nested O Models (ii) and (iv) are nested
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The following models were proposed for a
binary response y and explanatory variables
x1,x2,x3 , where p is the probability of
success for the variable y.
() p(#1, #2, 23) = exp(-exp(-81#1 - B2 #2 – B3#3))
(1) P(#1 , #2, 23) :
exp(81 ¤1+B2x2)
1+exp(ß1¤1+Bq#2)
(ii) p(x1, #2, x3) = exp(-exp(-8o – B1#1 – 82 #2 – B12#1#2))
%3D
(iv) p(æ1, 2 ;23) = exp(-exp(-8o – ß1ª1 – B2=2))
exp(8o +B, x1 +B9 x,+B12#1 ¤q)
1+exp(8o+ß1#1+B2 x2+B12#1#2)
(v) p(#1,#2,x3);
Select the correct statement(s):
Models (i) and (ii) are nested
Models (ii) and (ii) are nested
Models (i) and (iv) are nested
Models (iv) and (v) are nested
There are exactly three pairs of nested models
O None of the above statements are correct
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