The SAS System 1 The UNIVARIATE Procedure Variable: x1 Moments N 49 Sum Weights 49 Mean 157.979592 Sum Observations 7741 Std Deviation 3.65427715 Variance 13.3537415 Skewness 0.15322125 Kurtosis -1.1180149 Uncorrected SS 1223561 Corrected SS 640.979592 Coeff Variation 2.31313242 Std Error Mean 0.52203959 Basic Statistical Measures Location Variability Mean 157.9796 Std Deviation 3.65428 Median 158.0000 Variance 13.35374 Mode 155.0000 Range 13.00000 Interquartile Range 6.00000 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 302.6199 Pr > |t| <.0001 Sign M 24.5 Pr >= |M| <.0001 Signed Rank S 612.5 Pr >= |S| <.0001 Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.950892 Pr < W 0.0401 Kolmogorov-Smirnov D 0.119101 Pr > D 0.0816 Cramer-von Mises W-Sq 0.116578 Pr > W-Sq 0.0687 Anderson-Darling A-Sq 0.764987 Pr > A-Sq 0.0447 Quantiles (Definition 5) Quantile Estimate 100% Max 165 99% 165 95% 164 90% 163 75% Q3 161 50% Median 158 25% Q1 155 10% 153 5% 153 1% 152 0% Min 152 The SAS System 2 The UNIVARIATE Procedure Variable: x1 Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs 152 37 163 40 152 25 163 41 153 47 164 9 153 30 164 49 153 18 165 29 Stem Leaf # Boxplot 165 0 1 | 164 00 2 | 163 0000 4 | 162 00000 5 | 161 00 2 +-----+ 160 000 3 | | 159 00000 5 | | 158 000 3 *--+--* 157 0000 4 | | 156 0000 4 | | 155 00000000 8 +-----+ 154 0 1 | 153 00000 5 | 152 00 2 | ----+----+----+----+ Normal Probability Plot 165.5+ ++* | *+*+ | ****++ | **** ++ | ** +++ | **+++ | ***+ | **+ | **+ | +** | ***** | *+ | * **** 152.5+ * * +++ +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 The SAS System 3 The UNIVARIATE Procedure Variable: x2 Moments N 49 Sum Weights 49 Mean 241.326531 Sum Observations 11825 Std Deviation 5.06782233 Variance 25.6828231 Skewness -0.134055 Kurtosis -0.5256096 Uncorrected SS 2854919 Corrected SS 1232.77551 Coeff Variation 2.09998557 Std Error Mean 0.72397462 Basic Statistical Measures Location Variability Mean 241.3265 Std Deviation 5.06782 Median 242.0000 Variance 25.68282 Mode 245.0000 Range 22.00000 Interquartile Range 7.00000 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 333.3356 Pr > |t| <.0001 Sign M 24.5 Pr >= |M| <.0001 Signed Rank S 612.5 Pr >= |S| <.0001 Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.978879 Pr < W 0.5192 Kolmogorov-Smirnov D 0.11267 Pr > D 0.1202 Cramer-von Mises W-Sq 0.083426 Pr > W-Sq 0.1895 Anderson-Darling A-Sq 0.452119 Pr > A-Sq >0.2500 Quantiles (Definition 5) Quantile Estimate 100% Max 252 99% 252 95% 249 90% 248 75% Q3 245 50% Median 242 25% Q1 238 10% 235 5% 232 1% 230 0% Min 230 The SAS System 4 The UNIVARIATE Procedure Variable: x2 Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs 230 37 248 9 231 30 248 49 232 25 249 40 235 45 250 26 235 15 252 36 Stem Leaf # Boxplot 252 0 1 | 251 | 250 0 1 | 249 0 1 | 248 00 2 | 247 000 3 | 246 00 2 | 245 0000000 7 +-----+ 244 00 2 | | 243 000 3 | | 242 000 3 *-----* 241 | + | 240 00000 5 | | 239 00 2 | | 238 00000 5 +-----+ 237 0000 4 | 236 000 3 | 235 00 2 | 234 | 233 | 232 0 1 | 231 0 1 | 230 0 1 | ----+----+----+----+ The SAS System 5 The UNIVARIATE Procedure Variable: x2 Normal Probability Plot 252.5+ *+ | ++ | *+ | *+ | **+ | ***+ | *++ | *****+ | ** ++ | **++ | **++ 241.5+ ++ | *** | ** | **** | *** | ***+ | **++ | ++ | ++ | ++* | ++* 230.5+ *+ +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 The SAS System 6 The UNIVARIATE Procedure Variable: x3 Moments N 49 Sum Weights 49 Mean 31.4591837 Sum Observations 1541.5 Std Deviation 0.7947532 Variance 0.63163265 Skewness 0.39277155 Kurtosis -0.4297161 Uncorrected SS 48524.65 Corrected SS 30.3183673 Coeff Variation 2.52629951 Std Error Mean 0.11353617 Basic Statistical Measures Location Variability Mean 31.45918 Std Deviation 0.79475 Median 31.50000 Variance 0.63163 Mode 30.90000 Range 3.30000 Interquartile Range 1.10000 NOTE: The mode displayed is the smallest of 2 modes with a count of 5. Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 277.0851 Pr > |t| <.0001 Sign M 24.5 Pr >= |M| <.0001 Signed Rank S 612.5 Pr >= |S| <.0001 Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.973751 Pr < W 0.3391 Kolmogorov-Smirnov D 0.106045 Pr > D >0.1500 Cramer-von Mises W-Sq 0.055027 Pr > W-Sq >0.2500 Anderson-Darling A-Sq 0.356876 Pr > A-Sq >0.2500 Quantiles (Definition 5) Quantile Estimate 100% Max 33.4 99% 33.4 95% 32.8 90% 32.6 75% Q3 32.0 50% Median 31.5 25% Q1 30.9 10% 30.4 5% 30.3 1% 30.1 0% Min 30.1 The SAS System 7 The UNIVARIATE Procedure Variable: x3 Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs 30.1 30 32.6 24 30.3 31 32.7 9 30.3 25 32.8 8 30.3 19 33.1 29 30.4 37 33.4 40 Stem Leaf # Boxplot 334 0 1 | 332 | 330 0 1 | 328 0 1 | 326 00 2 | 324 00 2 | 322 000 3 | 320 000 3 +-----+ 318 000 3 | | 316 0000 4 | | 314 0000000 7 *--+--* 312 00 2 | | 310 00000 5 | | 308 000000 6 +-----+ 306 00 2 | 304 000 3 | 302 000 3 | 300 0 1 | ----+----+----+----+ Multiply Stem.Leaf by 10**-1 Normal Probability Plot 33.5+ * + | +++ | * ++ | *+++ | **++ | **++ | *++ | **+ | *+ | +** | **** | +*+ | *** | ***+* | ** | *** | * *+* 30.1+ * +++ +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 The SAS System 8 The UNIVARIATE Procedure Variable: x4 Moments N 49 Sum Weights 49 Mean 18.4693878 Sum Observations 905 Std Deviation 0.56428571 Variance 0.31841837 Skewness -0.0546329 Kurtosis 0.13668985 Uncorrected SS 16730.08 Corrected SS 15.2840816 Coeff Variation 3.05524862 Std Error Mean 0.08061224 Basic Statistical Measures Location Variability Mean 18.46939 Std Deviation 0.56429 Median 18.50000 Variance 0.31842 Mode 18.50000 Range 2.60000 Interquartile Range 0.70000 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 229.1139 Pr > |t| <.0001 Sign M 24.5 Pr >= |M| <.0001 Signed Rank S 612.5 Pr >= |S| <.0001 Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.980976 Pr < W 0.6068 Kolmogorov-Smirnov D 0.102354 Pr > D >0.1500 Cramer-von Mises W-Sq 0.066063 Pr > W-Sq >0.2500 Anderson-Darling A-Sq 0.383549 Pr > A-Sq >0.2500 Quantiles (Definition 5) Quantile Estimate 100% Max 19.8 99% 19.8 95% 19.5 90% 19.1 75% Q3 18.8 50% Median 18.5 25% Q1 18.1 10% 17.7 5% 17.3 1% 17.2 0% Min 17.2 The SAS System 9 The UNIVARIATE Procedure Variable: x4 Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs 17.2 25 19.1 46 17.3 37 19.3 13 17.3 30 19.5 28 17.7 45 19.5 40 17.7 4 19.8 29 Stem Leaf # Boxplot 198 0 1 | 196 | 194 00 2 | 192 0 1 | 190 000000 6 | 188 00000 5 +-----+ 186 000000 6 | | 184 0000000000 10 *--+--* 182 0000 4 | | 180 0000000 7 +-----+ 178 00 2 | 176 00 2 | 174 | 172 000 3 | ----+----+----+----+ Multiply Stem.Leaf by 10**-1 Normal Probability Plot 19.9+ * ++ | +++ | *+*++ | +*++ | *+*+* | ****+ | **** | ***+*+ | **++ | ****++ | **++ | +**+ | +++ 17.3+ *+++* +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 The SAS System 10 The UNIVARIATE Procedure Variable: x5 Moments N 49 Sum Weights 49 Mean 20.8265306 Sum Observations 1020.5 Std Deviation 0.99137436 Variance 0.98282313 Skewness 0.24024474 Kurtosis -0.1537205 Uncorrected SS 21300.65 Corrected SS 47.1755102 Coeff Variation 4.76015128 Std Error Mean 0.14162491 Basic Statistical Measures Location Variability Mean 20.82653 Std Deviation 0.99137 Median 20.70000 Variance 0.98282 Mode 20.30000 Range 4.50000 Interquartile Range 1.30000 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 147.0541 Pr > |t| <.0001 Sign M 24.5 Pr >= |M| <.0001 Signed Rank S 612.5 Pr >= |S| <.0001 Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.98681 Pr < W 0.8534 Kolmogorov-Smirnov D 0.082707 Pr > D >0.1500 Cramer-von Mises W-Sq 0.051252 Pr > W-Sq >0.2500 Anderson-Darling A-Sq 0.280452 Pr > A-Sq >0.2500 Quantiles (Definition 5) Quantile Estimate 100% Max 23.1 99% 23.1 95% 22.7 90% 22.2 75% Q3 21.5 50% Median 20.7 25% Q1 20.2 10% 19.6 5% 19.3 1% 18.6 0% Min 18.6 The SAS System 11 The UNIVARIATE Procedure Variable: x5 Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs 18.6 37 22.2 36 19.0 34 22.5 26 19.3 39 22.7 29 19.6 45 22.8 40 19.6 2 23.1 31 Stem Leaf # Boxplot 230 0 1 | 228 0 1 | 226 0 1 | 224 0 1 | 222 0 1 | 220 00 2 | 218 00 2 | 216 000 3 | 214 00 2 +-----+ 212 000 3 | | 210 00 2 | | 208 0000 4 | + | 206 0000 4 *-----* 204 00000 5 | | 202 000000 6 +-----+ 200 000 3 | 198 000 3 | 196 00 2 | 194 | 192 0 1 | 190 0 1 | 188 | 186 0 1 | ----+----+----+----+ Multiply Stem.Leaf by 10**-1 The SAS System 12 The UNIVARIATE Procedure Variable: x5 Normal Probability Plot 23.1+ *+ | * ++ | * ++ | * ++ | *++ | **+ | **+ | **+ | ** | ** | +** 20.9+ +** | +** | *** | *** | **+ | ***+ | **++ | ++ | *+ | *+ | ++ 18.7+ *+ +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 The SAS System 13 The CORR Procedure 5 Variables: x1 x2 x3 x4 x5 Covariance Matrix, DF = 48 x1 x2 x3 x4 x5 x1 13.35374150 13.61096939 1.92206633 1.33061224 2.19221939 x2 13.61096939 25.68282313 2.71360544 2.19770408 2.65782313 x3 1.92206633 2.71360544 0.63163265 0.34226616 0.41464711 x4 1.33061224 2.19770408 0.34226616 0.31841837 0.33937075 x5 2.19221939 2.65782313 0.41464711 0.33937075 0.98282313 Simple Statistics Variable N Mean Std Dev Sum Minimum Maximum x1 49 157.97959 3.65428 7741 152.00000 165.00000 x2 49 241.32653 5.06782 11825 230.00000 252.00000 x3 49 31.45918 0.79475 1542 30.10000 33.40000 x4 49 18.46939 0.56429 905.00000 17.20000 19.80000 x5 49 20.82653 0.99137 1021 18.60000 23.10000 Pearson Correlation Coefficients, N = 49 Prob > |r| under H0: Rho=0 x1 x2 x3 x4 x5 x1 1.00000 0.73496 0.66181 0.64528 0.60512 <.0001 <.0001 <.0001 <.0001 x2 0.73496 1.00000 0.67374 0.76851 0.52901 <.0001 <.0001 <.0001 <.0001 x3 0.66181 0.67374 1.00000 0.76319 0.52627 <.0001 <.0001 <.0001 0.0001 x4 0.64528 0.76851 0.76319 1.00000 0.60665 <.0001 <.0001 <.0001 <.0001 x5 0.60512 0.52901 0.52627 0.60665 1.00000 <.0001 <.0001 0.0001 <.0001 The SAS System 14 Obs _TYPE_ _NAME_ x1 x2 x3 x4 x5 1 COV x1 13.354 13.611 1.9221 1.3306 2.1922 2 COV x2 13.611 25.683 2.7136 2.1977 2.6578 3 COV x3 1.922 2.714 0.6316 0.3423 0.4146 4 COV x4 1.331 2.198 0.3423 0.3184 0.3394 5 COV x5 2.192 2.658 0.4146 0.3394 0.9828 6 MEAN 157.980 241.327 31.4592 18.4694 20.8265 7 STD 3.654 5.068 0.7948 0.5643 0.9914 8 N 49.000 49.000 49.0000 49.0000 49.0000 9 CORR x1 1.000 0.735 0.6618 0.6453 0.6051 10 CORR x2 0.735 1.000 0.6737 0.7685 0.5290 11 CORR x3 0.662 0.674 1.0000 0.7632 0.5263 12 CORR x4 0.645 0.769 0.7632 1.0000 0.6066 13 CORR x5 0.605 0.529 0.5263 0.6066 1.0000 The SAS System 15 S 13.353741 13.610969 1.9220663 1.3306122 2.1922194 13.610969 25.682823 2.7136054 2.1977041 2.6578231 1.9220663 2.7136054 0.6316327 0.3422662 0.4146471 1.3306122 2.1977041 0.3422662 0.3184184 0.3393707 2.1922194 2.6578231 0.4146471 0.3393707 0.9828231 EIGVALS EIGVECS 12.899719 0.0176524 -0.04021 -0.156491 0.8280999 0.5365005 3.1970983 -0.039642 -0.069022 -0.057744 -0.550512 0.8290154 1.5849926 -0.356953 0.8976265 0.2375149 0.0335624 0.0964961 0.2163351 0.9265815 0.3072406 0.2032454 -0.014595 0.0743522 0.028308 -0.110219 -0.30576 0.9351226 0.099234 0.1003044 LAMBDA1 E1 12.899719 0.0176524 -0.039642 -0.356953 0.9265815 -0.110219 CHECK 4.718E-16 2.22E-16 2.665E-15 -5.33E-15 -1.78E-15 The SAS System 16 Obs birdno x1 x2 x3 x4 x5 lincomb1 lincomb2 1 1 156 245 31.6 18.5 20.5 -3.35602 293.284 2 2 154 240 30.4 17.9 19.6 -3.22153 287.815 3 3 153 240 31.0 18.4 20.6 -3.10028 287.474 4 4 153 236 30.9 17.7 20.2 -3.51053 284.056 5 5 155 243 31.5 18.6 20.3 -3.14400 291.067 6 6 163 247 32.0 19.0 20.9 -3.03532 298.813 7 7 157 238 30.9 18.4 20.2 -2.87060 287.912 8 8 155 239 32.8 18.6 21.2 -3.54866 287.967 9 9 164 248 32.7 19.1 21.1 -3.23657 300.274 10 10 158 238 31.0 18.8 22.0 -2.71641 288.669 11 11 158 240 31.3 18.6 22.0 -3.08810 290.341 12 12 160 244 31.1 18.6 20.5 -2.97464 294.560 13 13 161 246 32.3 19.3 21.8 -2.95929 297.053 14 14 157 245 32.0 19.1 20.0 -2.87010 293.853 15 15 157 235 31.5 18.1 19.8 -3.19974 285.421 16 16 156 237 30.9 18.0 20.3 -3.23027 286.527 17 17 158 244 31.4 18.5 21.6 -3.33093 293.619 18 18 153 238 30.5 18.2 20.9 -3.06090 285.783 19 19 155 236 30.3 18.5 20.1 -2.50877 285.121 20 20 163 246 32.5 18.6 21.9 -3.65501 298.103 21 21 159 236 31.5 18.0 21.5 -3.48411 287.486 22 22 155 240 31.4 18.0 20.7 -3.58941 288.566 23 23 156 240 31.5 18.2 20.6 -3.41112 289.117 24 24 160 242 32.6 18.8 21.7 -3.37773 293.182 25 25 152 232 30.3 17.2 19.8 -3.57465 280.068 26 26 160 250 31.7 18.8 22.5 -3.46179 299.808 27 27 155 237 31.0 18.5 20.0 -2.78726 286.007 28 28 157 245 32.2 19.5 21.4 -2.72516 294.043 29 29 165 245 33.1 19.8 22.7 -2.77051 298.574 30 30 153 231 30.1 17.3 19.8 -3.35331 279.764 31 31 162 239 30.3 18.0 23.1 -3.29808 291.627 32 32 162 243 31.6 18.8 21.3 -2.98103 294.947 33 33 159 245 31.8 18.5 21.7 -3.50672 295.033 34 34 159 247 30.9 18.1 19.0 -3.33779 296.304 35 35 155 243 30.9 18.5 21.3 -3.13270 291.102 36 36 162 252 31.9 19.1 22.2 -3.26612 302.550 37 37 152 230 30.4 17.3 18.6 -3.30614 278.307 38 38 159 242 30.8 18.2 20.5 -3.17655 292.307 39 39 155 238 31.2 17.9 19.3 -3.37709 286.741 40 40 163 249 33.4 19.5 22.8 -3.36047 300.834 41 41 163 242 31.0 18.1 20.7 -3.29204 294.485 42 42 156 237 31.7 18.2 20.3 -3.33051 286.619 43 43 159 238 31.5 18.4 20.3 -3.06049 289.053 44 44 161 245 32.1 19.1 20.8 -2.92336 296.089 45 45 155 235 30.7 17.7 19.6 -3.29807 284.221 46 46 162 247 31.9 19.1 20.4 -2.86951 298.224 47 47 153 237 30.6 18.6 20.4 -2.63121 284.943 48 48 162 245 32.5 18.5 21.1 -3.63750 296.650 49 49 164 248 32.3 18.8 20.9 -3.34971 300.193 Q-Q plot for , using PROC UNIVARIATE 17 The UNIVARIATE Procedure Variable: lincomb1 Moments N 49 Sum Weights 49 Mean -3.1895469 Sum Observations -156.2878 Std Deviation 0.27842606 Variance 0.07752107 Skewness 0.46930381 Kurtosis -0.427551 Uncorrected SS 502.208282 Corrected SS 3.7210115 Coeff Variation -8.7293296 Std Error Mean 0.03977515 Basic Statistical Measures Location Variability Mean -3.18955 Std Deviation 0.27843 Median -3.23657 Variance 0.07752 Mode . Range 1.14624 Interquartile Range 0.37944 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t -80.1894 Pr > |t| <.0001 Sign M -24.5 Pr >= |M| <.0001 Signed Rank S -612.5 Pr >= |S| <.0001 Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.968509 Pr < W 0.2111 Kolmogorov-Smirnov D 0.112993 Pr > D 0.1176 Cramer-von Mises W-Sq 0.092684 Pr > W-Sq 0.1399 Anderson-Darling A-Sq 0.513203 Pr > A-Sq 0.1934 Quantiles (Definition 5) Quantile Estimate 100% Max -2.50877 99% -2.50877 95% -2.71641 90% -2.77051 75% Q3 -2.98103 50% Median -3.23657 25% Q1 -3.36047 10% -3.54866 5% -3.58941 1% -3.65501 0% Min -3.65501 Q-Q plot for , using PROC UNIVARIATE 18 The UNIVARIATE Procedure Variable: lincomb1 Extreme Observations ------Lowest----- -----Highest----- Value Obs Value Obs -3.65501 20 -2.77051 29 -3.63750 48 -2.72516 28 -3.58941 22 -2.71641 10 -3.57465 25 -2.63121 47 -3.54866 8 -2.50877 19 Stem Leaf # Boxplot -25 1 1 | -25 | -26 3 1 | -26 | -27 32 2 | -27 97 2 | -28 | -28 777 3 | -29 2 1 | -29 876 3 +-----+ -30 4 1 | | -30 966 3 | | -31 430 3 | | -31 8 1 | + | -32 4320 4 *-----* -32 97 2 | | -33 433100 6 | | -33 886655 6 +-----+ -34 1 1 | -34 86 2 | -35 11 2 | -35 975 3 | -36 4 1 | -36 6 1 | ----+----+----+----+ Multiply Stem.Leaf by 10**-1 Q-Q plot for , using PROC UNIVARIATE 19 The UNIVARIATE Procedure Variable: lincomb1 Normal Probability Plot -2.525+ *++ | + | * ++ | ++ | * *+ | **++ | + | ***+ | *+ | ** | * | ** | +** | ++* | ++** | +** | *** | **** | *+ | +** | *** | * *+ | * ++ -3.675+ * ++ +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 Q-Q plot for , using PROC UNIVARIATE 20 The UNIVARIATE Procedure Variable: lincomb2 Moments N 49 Sum Weights 49 Mean 291.317461 Sum Observations 14274.5556 Std Deviation 5.94354762 Variance 35.3257583 Skewness -0.1012759 Kurtosis -0.6929491 Uncorrected SS 4160122.93 Corrected SS 1695.6364 Coeff Variation 2.04023048 Std Error Mean 0.84907823 Basic Statistical Measures Location Variability Mean 291.3175 Std Deviation 5.94355 Median 291.1020 Variance 35.32576 Mode . Range 24.24302 Interquartile Range 9.34864 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 343.0985 Pr > |t| <.0001 Sign M 24.5 Pr >= |M| <.0001 Signed Rank S 612.5 Pr >= |S| <.0001 Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.975938 Pr < W 0.4092 Kolmogorov-Smirnov D 0.09338 Pr > D >0.1500 Cramer-von Mises W-Sq 0.063084 Pr > W-Sq >0.2500 Anderson-Darling A-Sq 0.382828 Pr > A-Sq >0.2500 Quantiles (Definition 5) Quantile Estimate 100% Max 302.550 99% 302.550 95% 300.274 90% 299.808 75% Q3 296.089 50% Median 291.102 25% Q1 286.741 10% 284.221 5% 280.068 1% 278.307 0% Min 278.307 Q-Q plot for , using PROC UNIVARIATE 21 The UNIVARIATE Procedure Variable: lincomb2 Extreme Observations ------Lowest----- -----Highest----- Value Obs Value Obs 278.307 37 299.808 26 279.764 30 300.193 49 280.068 25 300.274 9 284.056 4 300.834 40 284.221 45 302.550 36 Stem Leaf # Boxplot 302 6 1 | 300 238 3 | 298 12688 5 | 296 1361 4 +-----+ 294 05690 5 | | 292 32369 5 | | 290 3116 4 *--+--* 288 06711 5 | | 286 05675589 8 +-----+ 284 129148 6 | 282 | 280 1 1 | 278 38 2 | ----+----+----+----+ Normal Probability Plot 303+ ++++* | *+*+* | *****+ | ***++ | ***+ | ***+ 291+ +*** | ++** | ****** | ****** | +++ | +++* 279+ *++ * +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 Q-Q plot for using PROC PLOT 22 Plot of lincomb1*phiinv. Symbol used is '*'. lincomb1 | | -2.4 + | | | | * | | -2.6 + | * | | | * * | | * -2.8 + * | | *** | | * | | *** -3.0 + | * | ** | * | * | * | * -3.2 + * | ** | * | ** | * | ***** | *** -3.4 + * | | * | * | ** | * | * -3.6 + * | * | * | | | | -3.8 + | -+----------+----------+----------+----------+----------+----------+- -3 -2 -1 0 1 2 3 phiinv NOTE: 4 obs hidden. Correlation between observed and expected quantiles (r_q) for lincomb1 23 The CORR Procedure 2 Variables: lincomb1 phiinv Pearson Correlation Coefficients, N = 49 lincomb1 phiinv lincomb1 1.00000 0.98606 phiinv 0.98606 1.00000 Q-Q plot for using PROC PLOT 24 Plot of lincomb2*phiinv. Symbol used is '*'. lincomb2 | | 302.5 + * | | | * | * 300.0 + ** | | * | * | ** 297.5 + | * | ** | * | 295.0 + ** | * | ** | ** | * 292.5 + * | | * | ** | * 290.0 + | | * | * | ** 287.5 + ** | | *** | * | * 285.0 + ** | | ** | | 282.5 + | | | | 280.0 + * * | | | * | 277.5 + | -+----------+----------+----------+----------+----------+----------+- -3 -2 -1 0 1 2 3 phiinv NOTE: 5 obs hidden. Correlation between observed and expected quantiles (r_q) for lincomb2 25 The CORR Procedure 2 Variables: lincomb2 phiinv Pearson Correlation Coefficients, N = 49 lincomb2 phiinv lincomb2 1.00000 0.98998 phiinv 0.98998 1.00000