Select all of the responses which are correct
Which of the following is/are true regarding logistic regression?
a. This technique is most often used to analyze data from large, prospective cohort studies.
b. Interpretation of the results for a variable included in a multivariate logistic regression model should always include the direction of the association, whether or not it is statically significant, and a statement that this is the observed relationship after controlling for the other factors in the model.
c. If the R2 value for a multivariate logistic regression model is 0.24, p = 0.001, we can accept the alternate hypothesis that that the set of independent variables included in the model explains more than 0% of the variance in the dependent variable.
d. Logistic regression would be ideal for analysis of a clinical trial of a new drug compared with a placebo that enrolls subjects over a two-year period and continues until 4444 outcome events have been accumulated.
Regression Statistics Multiple R 0.91541024 R Square 0.837975908 Adjusted R Square 0.832452359 Standard Error 2.714298432 Observations 365 ANOVA df SS MS F Significance F Regression 12 13412.50174 1117.708478 151.7097015 4.8928E-131 Residual 352 2593.330423 7.367415975 Total 364 16005.83216 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -60.29606734 8.127001941 -7.419226399 8.91E-13 -76.27965523 -44.31247946 -76.27965523 -44.31247946 mrent 0.004942873 0.003555645 1.390148072 0.165362329 -0.002050107 0.011935854 -0.002050107 0.011935854 pc1564 0.968385395 0.045236631 21.40710666 1.06E-65 0.879417326 1.057353465 0.879417326 1.057353465 pcipar -0.04367725 0.051015136 -0.856162578 0.392490296 -0.144010055 0.056655555 -0.144010055 0.056655555 pc2par 0.406260548 0.024563525 16.53917973 7.19E-46 0.35795082 0.454570276 0.35795082 0.454570276 pcasi 0.314712311 0.079737984 3.946830547 9.56303E-05 0.157889526 0.471535096 0.157889526 0.471535096 pceur 0.55063693 0.075471821 7.295927465 1.98E-12 0.40220452 0.699069339 0.40220452 0.699069339 pcmao 0.449945863 0.058370243 7.708480275 1.31432E-13 0.335147576 0.56474415 0.335147576 0.56474415 pcpac 0.417911559 0.074869493 5.58186708 4.75902E-08 0.270663763 0.565159355 0.270663763 0.565159355 pcnone -0.003353795 0.033415063 -0.100367771 0.920109496 -0.069072076 0.062364485 -0.069072076 0.062364485 pcuni -0.044810133 0.031958421 -1.402138508 0.161755125 -0.107663597 0.018043332 -0.107663597 0.018043332 pcown 0.006157215 0.018198951 0.338328006 0.735317726 -0.029635139 0.041949568 -0.029635139 0.041949568 sexratio -0.083329183 0.029554838 -2.819476877 0.005082415 -0.141455459 -0.025202908 -0.141455459 -0.025202908Which of the following statements is not correct? Multivariate analysis in critical applications of three comesfromroles. log in Once a researcher known the land intercept, he or she can the onelesson equal wellpute predicted value for the dependent variable on the basis in my value of the independent variable. botsour ed Hiw world , yaw islime a multivariate regression analysis the intercept represents the white off when the rule dependent variable of interest and all other independent variables are equal to 0. ) In most social research there will be no difference between the festints of bivariate but multivariate analyses. wol s ni blueon Hiw bus gnits(e) Show that if (X, Y) are jointly normally distributed, again meaning that (X, Y) is a multivariate normal, then the conditional distribution of Y given X = x is normal with mean Cov (X, Y) MY X=x = MY + Var (X) (x - MX) (7) and variance Cov? (X, Y) OVIX = * = 07 (8) Var(X) (f) Show that if X and Y are jointly normally distributed, i.e. the random vector (X, Y) forms a multivariate normal distribution, and X and Y are uncorrelated, then X and Y are independent
