Results: senicdescr.sas

Study of the Effectiveness of Nosocomial Infection Control

Basic Descriptive Statistics

Frequency distributions of categorical variables

The FREQ Procedure

The FREQ Procedure

Table medschl

One-Way Frequencies

Medical school affiliation
medschl Frequency Percent Cumulative
Frequency		 Cumulative
Percent
Frequency Missing = 4
N 93 85.32 93 85.32
Y 16 14.68 109 100.00

Table region

One-Way Frequencies

Region of country (usa)
region Frequency Percent Cumulative
Frequency		 Cumulative
Percent
Northeast 29 25.66 29 25.66
North Central 33 29.20 62 54.87
South 35 30.97 97 85.84
West 16 14.16 113 100.00

Table agecat

One-Way Frequencies

av patient age category
agecat Frequency Percent Cumulative
Frequency		 Cumulative
Percent
53 & under 56 49.56 56 49.56
Over 53 57 50.44 113 100.00

Study of the Effectiveness of Nosocomial Infection Control

Basic Descriptive Statistics

Means and SDs of quantitative variables

The MEANS Procedure

The MEANS Procedure

Summary statistics

Variable Label N Mean Std Dev
stay
age
infrisk
culratio
xratio
nbeds
census
nurses
service
Av length of hospital stay, in days
Average patient age
Prob of acquiring infection in hospital
# cultures / # no hosp acq infect
# x-rays / # no signs of pneumonia
Average # beds during study period
Aver # patients in hospital per day
Aver # nurses during study period
% of 35 potential facil. & services
113
113
108
113
113
113
109
112
113
9.6483186
53.2318584
4.3814815
15.6840708
81.6300885
252.1769912
191.3669725
170.6071429
43.1548673
1.9114560
4.4616074
1.3422779
10.1830441
19.3667373
192.8451558
153.5608614
137.0201772
15.2001879

Study of the Effectiveness of Nosocomial Infection Control

Basic Descriptive Statistics

Describe Quantitative Variables in More Detail

The UNIVARIATE Procedure

Variable: stay (Av length of hospital stay, in days)

The UNIVARIATE Procedure

stay

Moments

Moments
N 113 Sum Weights 113
Mean 9.64831858 Sum Observations 1090.26
Std Deviation 1.91145602 Variance 3.65366411
Skewness 2.06891744 Kurtosis 8.07748986
Uncorrected SS 10928.3862 Corrected SS 409.210381
Coeff Variation 19.8112863 Std Error Mean 0.17981466

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 9.648319 Std Deviation 1.91146
Median 9.420000 Variance 3.65366
Mode 7.140000 Range 12.86000
    Interquartile Range 2.13000

Tests For Location

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 53.65702 Pr > |t| <.0001
Sign M 56.5 Pr >= |M| <.0001
Signed Rank S 3220.5 Pr >= |S| <.0001

Tests For Normality

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.853032 Pr < W <0.0001
Kolmogorov-Smirnov D 0.086861 Pr > D 0.0357
Cramer-von Mises W-Sq 0.289727 Pr > W-Sq <0.0050
Anderson-Darling A-Sq 2.228908 Pr > A-Sq <0.0050

Quantiles

Quantiles (Definition 5)
Level Quantile
100% Max 19.56
99% 17.94
95% 12.07
90% 11.48
75% Q3 10.47
50% Median 9.42
25% Q1 8.34
10% 7.67
5% 7.14
1% 7.08
0% Min 6.70

Extreme Observations

Extreme Observations
Lowest Highest
Value Obs Value Obs
6.70 76 12.78 13
7.08 72 13.59 34
7.13 1 13.95 104
7.14 107 17.94 112
7.14 103 19.56 47

Plots for stay

Plots for stay

Study of the Effectiveness of Nosocomial Infection Control

Basic Descriptive Statistics

Describe Quantitative Variables in More Detail

The UNIVARIATE Procedure

Variable: age (Average patient age)

age

Moments

Moments
N 113 Sum Weights 113
Mean 53.2318584 Sum Observations 6015.2
Std Deviation 4.46160736 Variance 19.9059403
Skewness -0.1039823 Kurtosis 1.06639875
Uncorrected SS 322429.74 Corrected SS 2229.46531
Coeff Variation 8.38146083 Std Error Mean 0.41971272

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 53.23186 Std Deviation 4.46161
Median 53.20000 Variance 19.90594
Mode 52.80000 Range 27.10000
    Interquartile Range 5.30000

Note: The mode displayed is the smallest of 3 modes with a count of 4.

Tests For Location

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 126.8293 Pr > |t| <.0001
Sign M 56.5 Pr >= |M| <.0001
Signed Rank S 3220.5 Pr >= |S| <.0001

Tests For Normality

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.984071 Pr < W 0.2003
Kolmogorov-Smirnov D 0.062556 Pr > D >0.1500
Cramer-von Mises W-Sq 0.095269 Pr > W-Sq 0.1320
Anderson-Darling A-Sq 0.614839 Pr > A-Sq 0.1086

Quantiles

Quantiles (Definition 5)
Level Quantile
100% Max 65.9
99% 64.1
95% 60.9
90% 58.2
75% Q3 56.2
50% Median 53.2
25% Q1 50.9
10% 48.2
5% 45.2
1% 42.0
0% Min 38.8

Extreme Observations

Extreme Observations
Lowest Highest
Value Obs Value Obs
38.8 75 61.1 53
42.0 21 62.2 24
43.7 54 63.9 106
44.2 81 64.1 63
45.0 43 65.9 104

Plots for age

Plots for age

Study of the Effectiveness of Nosocomial Infection Control

Basic Descriptive Statistics

Describe Quantitative Variables in More Detail

The UNIVARIATE Procedure

Variable: infrisk (Prob of acquiring infection in hospital)

infrisk

Moments

Moments
N 108 Sum Weights 108
Mean 4.38148148 Sum Observations 473.2
Std Deviation 1.34227789 Variance 1.80170993
Skewness -0.1654924 Kurtosis 0.28036238
Uncorrected SS 2266.1 Corrected SS 192.782963
Coeff Variation 30.6352519 Std Error Mean 0.12916075

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 4.381481 Std Deviation 1.34228
Median 4.450000 Variance 1.80171
Mode 4.300000 Range 6.50000
    Interquartile Range 1.55000

Note: The mode displayed is the smallest of 2 modes with a count of 7.

Tests For Location

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 33.9227 Pr > |t| <.0001
Sign M 54 Pr >= |M| <.0001
Signed Rank S 2943 Pr >= |S| <.0001

Tests For Normality

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.977901 Pr < W 0.0690
Kolmogorov-Smirnov D 0.102134 Pr > D <0.0100
Cramer-von Mises W-Sq 0.150883 Pr > W-Sq 0.0232
Anderson-Darling A-Sq 0.855434 Pr > A-Sq 0.0274

Quantiles

Quantiles (Definition 5)
Level Quantile
100% Max 7.80
99% 7.70
95% 6.40
90% 5.80
75% Q3 5.25
50% Median 4.45
25% Q1 3.70
10% 2.50
5% 1.80
1% 1.30
0% Min 1.30

Extreme Observations

Extreme Observations
Lowest Highest
Value Obs Value Obs
1.3 93 6.5 47
1.3 40 6.6 104
1.4 107 7.6 53
1.6 2 7.7 13
1.7 85 7.8 54

Missing Values

Missing Values
Missing
Value		 Count Percent Of
All Obs Missing Obs
R 3 2.65 60.00
X 2 1.77 40.00
Total 5 4.42 100.00

Plots for infrisk

Plots for infrisk

Study of the Effectiveness of Nosocomial Infection Control

Basic Descriptive Statistics

Describe Quantitative Variables in More Detail

The UNIVARIATE Procedure

Variable: culratio (# cultures / # no hosp acq infect)

culratio

Moments

Moments
N 113 Sum Weights 113
Mean 15.6840708 Sum Observations 1772.3
Std Deviation 10.1830441 Variance 103.694387
Skewness 1.65510399 Kurtosis 4.16954739
Uncorrected SS 39410.65 Corrected SS 11613.7713
Coeff Variation 64.9260273 Std Error Mean 0.95794021

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 15.68407 Std Deviation 10.18304
Median 14.00000 Variance 103.69439
Mode 6.90000 Range 58.90000
    Interquartile Range 11.30000

Tests For Location

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 16.3727 Pr > |t| <.0001
Sign M 56.5 Pr >= |M| <.0001
Signed Rank S 3220.5 Pr >= |S| <.0001

Tests For Normality

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.879659 Pr < W <0.0001
Kolmogorov-Smirnov D 0.1118 Pr > D <0.0100
Cramer-von Mises W-Sq 0.418162 Pr > W-Sq <0.0050
Anderson-Darling A-Sq 2.767995 Pr > A-Sq <0.0050

Quantiles

Quantiles (Definition 5)
Level Quantile
100% Max 60.5
99% 52.4
95% 36.3
90% 26.4
75% Q3 19.7
50% Median 14.0
25% Q1 8.4
10% 5.7
5% 2.6
1% 1.9
0% Min 1.6

Extreme Observations

Extreme Observations
Lowest Highest
Value Obs Value Obs
1.6 106 36.7 74
1.9 40 42.0 110
2.2 93 46.0 13
2.5 49 52.4 54
2.6 81 60.5 8

Plots for culratio

Plots for culratio

Study of the Effectiveness of Nosocomial Infection Control

Basic Descriptive Statistics

Describe Quantitative Variables in More Detail

The UNIVARIATE Procedure

Variable: xratio (# x-rays / # no signs of pneumonia)

xratio

Moments

Moments
N 113 Sum Weights 113
Mean 81.6300885 Sum Observations 9224.2
Std Deviation 19.3667373 Variance 375.070515
Skewness 0.00834345 Kurtosis -0.2390935
Uncorrected SS 794980.16 Corrected SS 42007.8977
Coeff Variation 23.7249986 Std Error Mean 1.8218694

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 81.63009 Std Deviation 19.36674
Median 82.30000 Variance 375.07052
Mode 59.20000 Range 93.90000
    Interquartile Range 24.60000

Note: The mode displayed is the smallest of 9 modes with a count of 2.

Tests For Location

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 44.80568 Pr > |t| <.0001
Sign M 56.5 Pr >= |M| <.0001
Signed Rank S 3220.5 Pr >= |S| <.0001

Tests For Normality

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.990477 Pr < W 0.6211
Kolmogorov-Smirnov D 0.062445 Pr > D >0.1500
Cramer-von Mises W-Sq 0.049835 Pr > W-Sq >0.2500
Anderson-Darling A-Sq 0.333119 Pr > A-Sq >0.2500

Quantiles

Quantiles (Definition 5)
Level Quantile
100% Max 133.5
99% 122.8
95% 113.7
90% 104.3
75% Q3 94.1
50% Median 82.3
25% Q1 69.5
10% 56.2
5% 47.0
1% 40.4
0% Min 39.6

Extreme Observations

Extreme Observations
Lowest Highest
Value Obs Value Obs
39.6 1 116.9 13
40.4 49 116.9 109
42.6 52 122.0 11
45.7 107 122.8 4
46.5 108 133.5 104

Plots for xratio

Plots for xratio

Study of the Effectiveness of Nosocomial Infection Control

Basic Descriptive Statistics

Describe Quantitative Variables in More Detail

The UNIVARIATE Procedure

Variable: nbeds (Average # beds during study period)

nbeds

Moments

Moments
N 113 Sum Weights 113
Mean 252.176991 Sum Observations 28496
Std Deviation 192.845156 Variance 37189.2541
Skewness 1.37843399 Kurtosis 1.28098867
Uncorrected SS 11351232 Corrected SS 4165196.46
Coeff Variation 76.4721456 Std Error Mean 18.1413462

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 252.1770 Std Deviation 192.84516
Median 186.0000 Variance 37189
Mode 195.0000 Range 806.00000
    Interquartile Range 206.00000

Note: The mode displayed is the smallest of 2 modes with a count of 3.

Tests For Location

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 13.90068 Pr > |t| <.0001
Sign M 56.5 Pr >= |M| <.0001
Signed Rank S 3220.5 Pr >= |S| <.0001

Tests For Normality

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.841338 Pr < W <0.0001
Kolmogorov-Smirnov D 0.187828 Pr > D <0.0100
Cramer-von Mises W-Sq 1.011743 Pr > W-Sq <0.0050
Anderson-Darling A-Sq 5.88915 Pr > A-Sq <0.0050

Quantiles

Quantiles (Definition 5)
Level Quantile
100% Max 835
99% 833
95% 640
90% 568
75% Q3 312
50% Median 186
25% Q1 106
10% 76
5% 68
1% 52
0% Min 29

Extreme Observations

Extreme Observations
Lowest Highest
Value Obs Value Obs
29 113 752 78
52 77 768 11
56 93 831 46
60 38 833 20
64 101 835 112

Plots for nbeds

Plots for nbeds

Study of the Effectiveness of Nosocomial Infection Control

Basic Descriptive Statistics

Describe Quantitative Variables in More Detail

The UNIVARIATE Procedure

Variable: census (Aver # patients in hospital per day)

census

Moments

Moments
N 109 Sum Weights 109
Mean 191.366972 Sum Observations 20859
Std Deviation 153.560861 Variance 23580.9382
Skewness 1.41050726 Kurtosis 1.85973602
Uncorrected SS 6538465 Corrected SS 2546741.32
Coeff Variation 80.2441819 Std Error Mean 14.7084629

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 191.3670 Std Deviation 153.56086
Median 143.0000 Variance 23581
Mode 59.0000 Range 771.00000
    Interquartile Range 184.00000

Note: The mode displayed is the smallest of 2 modes with a count of 3.

Tests For Location

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 13.01067 Pr > |t| <.0001
Sign M 54.5 Pr >= |M| <.0001
Signed Rank S 2997.5 Pr >= |S| <.0001

Tests For Normality

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.855416 Pr < W <0.0001
Kolmogorov-Smirnov D 0.160836 Pr > D <0.0100
Cramer-von Mises W-Sq 0.81547 Pr > W-Sq <0.0050
Anderson-Darling A-Sq 4.787111 Pr > A-Sq <0.0050

Quantiles

Quantiles (Definition 5)
Level Quantile
100% Max 791
99% 595
95% 546
90% 413
75% Q3 252
50% Median 143
25% Q1 68
10% 49
5% 40
1% 37
0% Min 20

Extreme Observations

Extreme Observations
Lowest Highest
Value Obs Value Obs
20 113 547 20
37 77 581 46
37 57 591 11
38 71 595 78
40 103 791 112

Missing Values

Missing Values
Missing
Value		 Count Percent Of
All Obs Missing Obs
R 4 3.54 100.00

Plots for census

Plots for census

Study of the Effectiveness of Nosocomial Infection Control

Basic Descriptive Statistics

Describe Quantitative Variables in More Detail

The UNIVARIATE Procedure

Variable: nurses (Aver # nurses during study period)

nurses

Moments

Moments
N 112 Sum Weights 112
Mean 170.607143 Sum Observations 19108
Std Deviation 137.020177 Variance 18774.529
Skewness 1.4275739 Kurtosis 1.81649217
Uncorrected SS 5343934 Corrected SS 2083972.71
Coeff Variation 80.3132711 Std Error Mean 12.9471898

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 170.6071 Std Deviation 137.02018
Median 130.5000 Variance 18775
Mode 35.0000 Range 642.00000
    Interquartile Range 149.50000

Tests For Location

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 13.17716 Pr > |t| <.0001
Sign M 56 Pr >= |M| <.0001
Signed Rank S 3164 Pr >= |S| <.0001

Tests For Normality

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.857407 Pr < W <0.0001
Kolmogorov-Smirnov D 0.150463 Pr > D <0.0100
Cramer-von Mises W-Sq 0.810249 Pr > W-Sq <0.0050
Anderson-Darling A-Sq 4.824888 Pr > A-Sq <0.0050

Quantiles

Quantiles (Definition 5)
Level Quantile
100% Max 656.0
99% 629.0
95% 446.0
90% 371.0
75% Q3 214.5
50% Median 130.5
25% Q1 65.0
10% 45.0
5% 35.0
1% 19.0
0% Min 14.0

Extreme Observations

Extreme Observations
Lowest Highest
Value Obs Value Obs
14 93 497 24
19 107 519 20
21 40 528 66
22 113 629 46
32 108 656 11

Missing Values

Missing Values
Missing
Value		 Count Percent Of
All Obs Missing Obs
X 1 0.88 100.00

Plots for nurses

Plots for nurses

Study of the Effectiveness of Nosocomial Infection Control

Basic Descriptive Statistics

Describe Quantitative Variables in More Detail

The UNIVARIATE Procedure

Variable: service (% of 35 potential facil. & services)

service

Moments

Moments
N 113 Sum Weights 113
Mean 43.1548673 Sum Observations 4876.5
Std Deviation 15.2001879 Variance 231.045713
Skewness 0.07505927 Kurtosis -0.4177252
Uncorrected SS 236321.83 Corrected SS 25877.1198
Coeff Variation 35.2224184 Std Error Mean 1.4299134

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 43.15487 Std Deviation 15.20019
Median 42.90000 Variance 231.04571
Mode 37.10000 Range 74.30000
    Interquartile Range 22.90000

Note: The mode displayed is the smallest of 2 modes with a count of 9.

Tests For Location

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 30.18006 Pr > |t| <.0001
Sign M 56.5 Pr >= |M| <.0001
Signed Rank S 3220.5 Pr >= |S| <.0001

Tests For Normality

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.991712 Pr < W 0.7319
Kolmogorov-Smirnov D 0.06189 Pr > D >0.1500
Cramer-von Mises W-Sq 0.058231 Pr > W-Sq >0.2500
Anderson-Darling A-Sq 0.341674 Pr > A-Sq >0.2500

Quantiles

Quantiles (Definition 5)
Level Quantile
100% Max 80.0
99% 77.1
95% 68.6
90% 62.9
75% Q3 54.3
50% Median 42.9
25% Q1 31.4
10% 22.9
5% 20.0
1% 11.4
0% Min 5.7

Extreme Observations

Extreme Observations
Lowest Highest
Value Obs Value Obs
5.7 93 68.6 78
11.4 49 71.4 52
14.3 40 74.3 46
17.1 21 77.1 20
17.1 15 80.0 11

Plots for service

Plots for service