Master of Applied Statistics Applied Statistics Comprehensive Exam Computer Output January 2018
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1 Question 1a output Master of Applied Statistics Applied Statistics Comprehensive Exam Computer Output January 2018 Question 1f output Basic Statistical Measures Location Variability Mean Std Deviation Median Variance Mode. Range Interquartile Range Tests for Location: Mu0=0 Test Statistic p Value Student's t t Pr > t Sign M -1 Pr >= M Signed Rank S Pr >= S Page 1 of 9
2 Question 3 Output The SAS System Dependent Variable: WebCAPE DF Sum of Squares Mean Square F Value Pr > F Model Error Corrected Total R-Square Coeff Var Root MSE WebCAPE Mean DF Type I SS Mean Square F Value Pr > F Level DF Type III SS Mean Square F Value Pr > F Level Level Least Squares Means Adjustment for Multiple Comparisons: Tukey-Kramer WebCAPE LSMEAN LSMEAN Number Elementary Intermediate Novice Least Squares Means for effect Level Pr > t for H0: LSMean(i)=LSMean(j) Dependent Variable: WebCAPE i/j Page 2 of 9
3 Question 3 Output Continued Level Least Squares Means Adjustment for Multiple Comparisons: Bonferroni WebCAPE LSMEAN LSMEAN Number Elementary Intermediate Novice Least Squares Means for effect Level Pr > t for H0: LSMean(i)=LSMean(j) Dependent Variable: WebCAPE i/j Level Least Squares Means Adjustment for Multiple Comparisons: Scheffe WebCAPE LSMEAN LSMEAN Number Elementary Intermediate Novice Least Squares Means for effect Level Pr > t for H0: LSMean(i)=LSMean(j) Dependent Variable: WebCAPE i/j Page 3 of 9
4 Question 4 Output DATA crop_yield; INPUT variety $ fertilizer $ CARDS; var_a fert_ var_a fert_ var_a fert_ var_a fert_ var_a fert_ var_a fert_ var_b fert_ var_b fert_ var_b fert_ var_b fert_ var_b fert_ var_b fert_ var_c fert_ var_c fert_ var_c fert_ var_c fert_ var_c fert_ var_c fert_ ; PROC GLM DATA=crop_yield ORDER=DATA; CLASS variety fertilizer; MODEL yield = variety fertilizer variety*fertilizer; RUN; Dependent Variable: yield DF Sum of Squares Mean Square F Value Pr > F Model <.0001 Error Corrected Total R-Square Coeff Var Root MSE yield Mean DF Type I SS Mean Square F Value Pr > F variety fertilizer <.0001 variety*fertilizer DF Type III SS Mean Square F Value Pr > F variety fertilizer <.0001 variety*fertilizer Page 4 of 9
5 Question 4 Output Continued RANDOM fertilizer variety*fertilizer; Type III Expected Mean Square variety Var(Error) + 3 Var(variety*fertilizer) + Q(variety) fertilizer Var(Error) + 3 Var(variety*fertilizer) + 9 Var(fertilizer) variety*fertilizer Var(Error) + 3 Var(variety*fertilizer) RANDOM variety variety*fertilizer; Type III Expected Mean Square variety Var(Error) + 3 Var(variety*fertilizer) + 6 Var(variety) fertilizer Var(Error) + 3 Var(variety*fertilizer) + Q(fertilizer) variety*fertilizer Var(Error) + 3 Var(variety*fertilizer) RANDOM variety fertilizer variety*fertilizer; Type III Expected Mean Square variety Var(Error) + 3 Var(variety*fertilizer) + 6 Var(variety) fertilizer Var(Error) + 3 Var(variety*fertilizer) + 9 Var(fertilizer) variety*fertilizer Var(Error) + 3 Var(variety*fertilizer) Page 5 of 9
6 Question 5 Output DATA brains; INPUT logbrain logweight gest litter species $; CARDS; Deer_mouse_III Deer_mouse_IV House_mouse Deer_mouse_II Deer_mouse_I Hampster_I Elephant_shrew_I Rat_I Flying_squirrel Elephant_shrew_II Pygmy_gerbil Hampster_II Tree_shrew Hopping_mouse Gentle_lemur Tree_squirrel Rat_II Chinchilla Bush_baby Acouchis Hedgehog Guinea_pig Slow_loris Linkajou Lemur Aardvark Domestic_cat Agoutis Jack_rabbit Bat-eared_fox Quokka Ring-tail_monkey Long-nose_armadillo Gray_fox Hyrax Vervet_guenon Nutria Raccoon White_handed_gibbon Leaf_monkey Rhesus_monkey_I Red_fox Badger Porcupine_III Howler_monkey Spider_monkey_II Dog Rhesus_monkey_II Spider_monkey_I Porcupine_I Lynx Duikers Porcupine_II Barking_deer Page 6 of 9
7 Question 5 Output Continued Canadian_beaver Hamadryas_baboon Beaver Capybara Domestic_goat Western_baboon Orangutan Black_buck_antilope Chimpanzee Vicuna Leopard Domestic_sheep ; PROC GLM DATA=brains; MODEL logbrain = logweight; RUN; Dependent Variable: logbrain DF Sum of Squares Mean Square F Value Pr > F Model <.0001 Error Corrected Total R-Square Coeff Var Root MSE logbrain Mean DF Type I SS Mean Square F Value Pr > F logweight <.0001 DF Type III SS Mean Square F Value Pr > F logweight <.0001 Parameter Estimate Standard Error t Value Pr > t Intercept <.0001 logweight <.0001 Page 7 of 9
8 Question 5 Output Continued PROC GLM DATA=brains; MODEL logbrain = logweight litter gest; RUN; Dependent Variable: logbrain DF Sum of Squares Mean Square F Value Pr > F Model <.0001 Error Corrected Total R-Square Coeff Var Root MSE logbrain Mean DF Type I SS Mean Square F Value Pr > F logweight <.0001 litter <.0001 gest DF Type III SS Mean Square F Value Pr > F logweight <.0001 litter gest Parameter Estimate Standard Error t Value Pr > t Intercept <.0001 logweight <.0001 litter gest Page 8 of 9
9 Question 6 Output Parameter DF Estimate Standard Error Analysis Of Maximum Likelihood Parameter Estimates Wald 95% Confidence Limits Wald Chi-Square Pr > ChiSq Intercept Minutes Scale Page 9 of 9
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