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HACAnalysis111.xlsx

Assumptions

Variable Name Description Definition
HAC_Rate Hospital-acquired condition rate Number of hospital-acquired conditions (HAC) per 1,000 discharges; measures extent of hospital errors
Nursing_HPPD Nursing hours per patient day Number of nursing staff hours per patient day (HPPD); measures nurse staffing level
Skill_Mix Nursing skill mix Percentage of nursing staff hours provided by Registered Nurses (RN); measures skill mix of nursing staff
ALOS Average length of stay Number of inpatient days per hospital discharge; measures hospital efficiency
Financial Assumptions:
Hospital discharges 10,000
Nursing cost per year $72,000 Average of RN and LPN nursing cost; cost includes salary, benefits, and overhead
RN cost per year $85,000
LPN cost per year $52,000
Hospital cost per inpatient day $2,600
Hospital penalty per HAC $5,700

Data

HAC_Rate Nursing_HPPD Skill_Mix ALOS
108 5.017 60.22 4.017
106 5.057 60.68 4.057
112 4.184 59.99 4.184
116 4.202 58.82 5.202
107 6.249 62.53 4.249
119 3.315 58.92 4.315
109 5.401 60.69 4.401
116 4.418 59.8 5.418
115 3.532 58.94 4.532
119 3.626 59.24 5.626
114 4.629 61.15 4.629
113 4.662 60.67 4.662
119 3.681 59.74 5.681
114 4.703 59.77 4.703
106 6.719 60.26 4.719
115 4.812 60.6 5.812
107 5.824 62.25 4.824
111 4.857 60.45 4.857
117 4.062 59.5 7.062
114 4.153 58.74 5.153
115 4.204 60.08 5.204
111 5.311 60.88 5.311
116 4.361 60.43 5.361
120 3.733 60.3 5.733
120 2.77 61.3 5.77
120 3.802 58.34 5.802
120 2.812 61.12 5.812
113 3.933 58.86 5.933
107 4.955 60.39 5.955
116 4.006 60.47 6.006
118 4.006 60.27 6.006
118 4.024 61.48 6.024
122 2.1 59.16 6.1
118 4.104 59.63 6.104
119 3.176 59.05 6.176
125 2.18 58.95 6.18
115 4.216 60.51 6.216
119 2.275 58.16 6.275
110 5.282 60.12 6.282
120 4.304 59.79 6.304
119 4.367 59.26 6.367
121 2.456 59.43 6.456
123 4.504 60.54 6.504
119 3.509 59.81 6.509
114 4.545 59.61 6.545
123 2.565 59.31 6.565
122 2.62 59.88 6.62
123 4.64 61.38 6.64
123 2.682 58.62 6.682
122 3.741 58.67 6.741
121 3.878 60.01 6.878
121 3.881 58.31 6.881
119 2.891 58.27 6.891
121 3.909 59.48 6.909
122 2.971 60.31 6.971
120 3.99 59.76 6.99
107 5.013 60.11 7.013
117 3.154 60.01 7.154
120 4.22 60.7 7.22
121 4.223 60.57 7.223
120 4.249 60.26 7.249
120 3.287 58.41 7.287
121 2.308 59.26 7.308
122 2.321 58.59 7.321
118 3.341 58.68 7.341
118 4.343 60.1 7.343
120 3.344 60.26 7.344
118 4.383 61.81 7.383
118 4.415 59.3 7.415
122 2.466 59.88 7.466
120 3.485 60.29 7.485
115 3.576 58.95 7.576
118 4.616 59.95 7.616
112 4.635 59.69 7.635
118 3.644 60.56 7.644
110 5.654 61.09 7.654
119 3.724 59.06 7.724
119 3.774 60.15 7.774
118 3.187 60.33 8.187
125 2.212 58.99 8.212
126 2.212 60.81 8.212
120 3.454 58.07 8.454
115 4.533 59.88 8.533
112 3.614 58.62 8.614
113 4.714 58.67 8.714
109 5.731 62.29 6.731
119 3.817 60.48 8.817
116 4.836 60.65 8.836
124 3.924 61.72 8.924
117 4.043 60.51 8.043
119 4.489 59.18 9.489
125 2.541 58.87 9.541
126 1.628 60.95 9.628
111 4.768 60.84 8.768
110 4.918 59.9 8.918

Correlations

HAC_Rate Nursing_HPPD Skill_Mix ALOS
HAC_Rate 1
Nursing_HPPD -0.799 1
Skill_Mix -0.305 0.462 1
ALOS 0.417 -0.312 -0.133 1

Descriptive Statistics

HAC_Rate Nursing_HPPD Skill_Mix ALOS
Mean 117.16 3.94 59.93 6.67
Standard Error 0.50 0.10 0.10 0.14
Median 118.00 4.01 59.99 6.68
Mode 119.00 4.01 60.26 5.81
Standard Deviation 4.89 0.98 0.97 1.35
Sample Variance 23.94 0.97 0.94 1.83
Kurtosis -0.31 0.06 -0.14 -0.49
Skewness -0.57 -0.01 0.27 0.03
Range 20 5.091 4.46 5.611
Minimum 106 1.628 58.07 4.017
Maximum 126 6.719 62.53 9.628
Sum 11130 374.602 5693.34 633.602
Count 95 95 95 95
Confidence Level(95.0%) 1.00 0.20 0.20 0.28

Histogram HAC_Rates

Bin Frequency
106.0 2
108.2 5
110.4 5
112.7 6
114.9 7
117.1 14
119.3 22
121.6 18
123.8 16

Histogram of HAC_Rate

106 108.22222222222223 110.44444444444444 112.66666666666667 114.88888888888889 117.11111111111111 119.33333333333333 121.55555555555556 123.77777777777777 2 5 5 6 7 14 22 18 16

Bin

Frequency

Regression 1

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.802678891
R Square 0.644293402
Adjusted R Square 0.6365606499
Standard Error 2.949879331
Observations 95
ANOVA
df SS MS F Significance F
Regression 2 1450.0670767355 725.0335383678 83.3200639618 2.23989862534873E-21
Residual 92 800.5645022118 8.7017880675
Total 94 2250.6315789474
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept 108.913 20.5637205276 5.2963715592 0.0000008014 68.0717805885 149.7544285195 68.0717805885 149.7544285195
Nursing_HPPD -4.164 0.3486841011 -11.9419573259 2.10040323342678E-20 -4.8564873771 -3.471453933 -4.8564873771 -3.471453933
Skill_Mix 0.412 0.3530811868 1.1655923275 0.246792365 -0.2897009916 1.1127984362 -0.2897009916 1.1127984362
Dependent variable: HAC_Rate

Regression 2

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.4171629872
R Square 0.1740249579
Adjusted R Square 0.1651435058
Standard Error 1.2352597906
Observations 95
ANOVA
df SS MS F Significance F
Regression 1 29.8981399683 29.8981399683 19.5942011072 0.0000260411
Residual 93 141.905607779 1.5258667503
Total 94 171.8037477474
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept -6.8338526449 3.0531780402 -2.2382751857 0.0275893689 -12.8968591367 -0.770846153 -12.8968591367 -0.770846153
HAC_Rate 0.1152576821 0.0260379087 4.4265337576 0.0000260411 0.0635515556 0.1669638085 0.0635515556 0.1669638085
Dependent variable: ALOS

1

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3

4

A

B

C

Variable Name

Description

Definition

HAC_Rate

Hospital-acquired

condition rate

Number of hospital-acquired conditions (HAC) per

1,000 discharges; measures extent of hospital

errors

Nursing_HPPD

Nursing hours per

patient day

Number of nursing staff hours per patient day

(HPPD); measures nurse staffing level

Skill_Mix

Nursing skill mix

Percentage of nursing staff hours provided by

Registered Nurses (RN); measures skill mix of

nursing staff