Afdeling for Anvendt Matematik og Statistik December 2006

Transkript

1 Københavns Universitet Statistik for Biokemikere Det naturvidenskabelige fakultet Inge Henningsen Afdeling for Anvendt Matematik og Statistik December 2006 i SAS (Zar kapitel 23) PROC FREQ PROC CATMOD 1

2 Eksempel 23.1 i ZAR DATA zar23_1; INPUT haar $ sex $ antal; CARDS; sort m 32 brun m 43 blond m 16 roed m 9 sort k 55 brun k 65 blond k 64 roed k 16 ; PROC FREQ ORDER=DATA; TABLES sex*haar/nopct NOCOL CHISQ CELLCHI2 EXPECTED; UDSKRIFT til Eksempel 23.1 i ZAR Sex Table of sex by haar Haar Frequency Expected Cell Chi-Square Row Pct sort brun blond roed Total m k Total Statistics for Table of sex by haar Statistic DF Value Prob Chi-Square Likelihood Ratio Chi-Square Mantel-Haenszel Chi-Square Phi Coefficient Contingency Coefficient Cramer's V Sample Size = 300 2

3 Eksempel 23.2 i ZAR DATA zar23_2; INPUT hand $ sex $ antal; CARDS; venstre m 6 hojre m 28 venstre k 12 hojre k 24 ; PROC FREQ ORDER=DATA; TABLES hand*sex/nopct NOROW CHISQ CELLCHI2 EXPECTED MEASURES; UDSKRIFT til Eksempel 23.2 i ZAR hand Table of hand by sex Sex Frequency Expected Cell Chi-Square Col Pct m k Total venstre hojre Total Statistics for Table of hand by sex Statistic DF Value Prob Chi-Square Likelihood Ratio Chi-Square Continuity Adj. Chi-Square Mantel-Haenszel Chi-Square Phi Coefficient Contingency Coefficient Cramer's V

4 UDSKRIFT til Eksempel 23.2 i ZAR (fortsat) Fisher's Exact Test Cell (1,1) Frequency (F) 6 Left-sided Pr <= F Right-sided Pr >= F Table Probability (P) Two-sided Pr <= P Statistic Value ASE Gamma Kendall's Tau-b Stuart's Tau-c Somers' D C R Somers' D R C Pearson Correlation Spearman Correlation Lambda Asymmetric C R Lambda Asymmetric R C Lambda Symmetric Uncertainty Coefficient C R Uncertainty Coefficient R C Uncertainty Coefficient Symmetric Estimates of the Relative Risk (Row1/Row2) Type of Study Value 95% Confidence Limits Case-Control (Odds Ratio) Cohort (Col1 Risk) Cohort (Col2 Risk) Sample Size = 70 4

5 Eksempel 23.4 i ZAR DATA zar23_4; INPUT parasit $ art $ antal; CARDS; ja 1 18 nej 1 6 ja 2 10 nej 2 15 ; PROC FREQ ORDER=DATA; TABLES parasit*art/nopct NOROW CHISQ CELLCHI2 EXPECTED; UDSKRIFT til Eksempel 23.4 i ZAR Table of parasit by art parasit Art Frequency Expected Cell Chi-Square Col Pct 1 2 Total ja nej Total Statistics for Table of parasit by art Statistic DF Value Prob Chi-Square Likelihood Ratio Chi-Square Continuity Adj. Chi-Square Mantel-Haenszel Chi-Square Phi Coefficient Contingency Coefficient Cramer's V

6 Eksempel 23.5 i ZAR DATA zar23_5; INPUT modstand $ snegl $ antal; CARDS; ja 1 12 nej 1 7 ja 2 2 nej 2 9 ; PROC FREQ ORDER=DATA; TABLES snegl*modstand/nopct NOCOL CHISQ CELLCHI2 EXPECTED; UDSKRIFT til Eksempel 23.5 i ZAR Table of snegl by modstand snegl modstand Frequency Expected Cell Chi-Square Row Pct Ja nej Total Total Statistics for Table of snegl by modstand Statistic DF Value Prob Chi-Square Likelihood Ratio Chi-Square Fisher's Exact Test Cell (1,1) Frequency (F) 12 Left-sided Pr <= F Right-sided Pr >= F Table Probability (P) Two-sided Pr <= P Sample Size = 30 6

7 DATA zar23_8; INPUT gruppe hand $ sex $ antal; CARDS; 1 venstre m 6 1 hojre m 28 1 venstre k 12 1 hojre k 24 2 venstre m 4 2 hojre m 25 2 venstre k 7 2 hojre k 13 3 venstre m 7 3 hojre m 27 3 venstre k 10 3 hojre k 18 4 venstre m 4 4 hojre m 22 4 venstre k 7 4 hojre k 14 ; Eksempel 23.8 i ZAR /*Model 1: Fuld model*/ PROC CATMOD DATA=zar23_8; MODEL gruppe*hand*sex=_response_/nodesign NOITER NOPARM NOPROFILE NORESPONSE; LOGLIN gruppe hand sex; /* Model 2: ingen 3. ordens vekselvirkning*/ PROC CATMOD; MODEL gruppe*hand*sex=_response_/nodesign NOITER NOPARM NOPROFILE NORESPONSE; LOGLIN gruppe hand /*Model 3: ingen vekselvirkning mellem gruppe og hand*/ PROC CATMOD; MODEL gruppe*hand*sex=_response_/nodesign NOITER NOPARM NOPROFILE NORESPONSE; LOGLIN gruppe sex hand sex; /*Model 4: ingen vekselvirkning mellem gruppe og hand og mellem gruppe og sex. Modellen kan også formuleres som samme fordeling i de fire tabeller*/ PROC CATMOD; MODEL gruppe*hand*sex=_response_/nodesign NOITER NOPROFILE NORESPONSE; /*parameter inkl.*/ LOGLIN gruppe hand sex; 7

8 /*Model 5: Samme fordeling i de fire tabeller og lige mange i hver tabel*/ PROC CATMOD; MODEL gruppe*hand*sex=_response_/nodesign NOITER NOPARM NOPROFILE NORESPONSE; LOGLIN hand sex; /*Model 6:Fuld model i marginal tabel over gruppe*/ PROC CATMOD; MODEL hand*sex=_response_/nodesign NOITER NOPARM NOPROFILE NORESPONSE; LOGLIN hand sex; /*test for uafhængighed i marginal tabel*/ UDSKRIFT TIL MODEL 1 i Eksempel 23.8 i ZAR De to følgende tabeller gentages i alle udskrifterne, men er ikke medtaget i notatet Data Summary Response gruppe*hand*sex Response Levels 16 Weight Variable Antal Populations 1 Data Set ZAR23_8A Total Frequency 228 Frequency Missing 0 Observations 16 Maximum Likelihood Analysis Maximum likelihood computations converged. Source DF Chi-Square Pr > ChiSq Gruppe Hand <.0001 gruppe*hand Sex gruppe*sex hand*sex gruppe*hand*sex Likelihood Ratio 0.. 8

9 UDSKRIFT TIL MODEL 2 i Eksempel 23.8 i ZAR Source DF Chi-Square Pr > ChiSq Gruppe Hand <.0001 gruppe*hand Sex gruppe*sex hand*sex Likelihood Ratio UDSKRIFT TIL MODEL 3 i Eksempel 23.8 i ZAR Source DF Chi-Square Pr > ChiSq Gruppe Sex gruppe*sex Hand <.0001 hand*sex Likelihood Ratio

10 UDSKRIFT TIL MODEL 4 i Eksempel 23.8 i ZAR Source DF Chi-Square Pr > ChiSq Gruppe Hand <.0001 Sex hand*sex Likelihood Ratio Parameter gruppe Analysis of Maximum Likelihood Estimates Estimate Standard Error Chi- Square Pr > ChiSq hand hojre <.0001 sex k hand*sex hojre k UDSKRIFT TIL MODEL 5 i Eksempel 23.8 i ZAR Source DF Chi-Square Pr > ChiSq Hand <.0001 Sex hand*sex Likelihood Ratio UDSKRIFT TIL MODEL 6 i Eksempel 23.8 i ZAR Source DF Chi-Square Pr > ChiSq Hand <.0001 Sex hand*sex Likelihood Ratio