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March 6, 2022

Data: We shall use the same data we have used for all our previous exercises – HMGT400Hosp.CSV? Using Excel To analyze the dat

Business & Finance - Financial markets

Data: We shall use the same data we have used for all our previous exercises – HMGT400Hosp.CSV 

Using Excel

To analyze the data using the logit regression model (Logistic Regression analysis) in Excel, we cannot use regular Analysis ToolPak. But we can use either the XLMiner Analysis ToolPak add-in or the RegressItLogistic add-in. Of course, XLMiner Analysis ToolPak is an add-in for Google Sheets or Excel Online. 

The “RegressItLogistic” add-in was developed by Professor Robert Nau, at the Duke University Business School in North Carolina. Instructions for downloading and using the add-in are at  https://regressit.com/regressitlogistic.html . Note that we need the add-in that runs regressions including logistic regressions called “RegressItLogistic”. You can use it to run both linear regression and logistic regression models. There is a version for running just linear regression models called “RegressItPC”.

  • attachment

    Exercise5.docx

  • attachment

    HMGT400HOSPITAL.csv

Exercise #5

For this week's exercise, we need to try a few logit regression (or logistic regression) models (see this link for more information on these regression models:  https://stats.idre.ucla.edu/r/dae/logit-regression/ ). You should also review the email attachment I sent to you called "Interpreting Odds Ratios".

Data: We shall use the same data we have used for all our previous exercises - HMGT400Hosp.CSV 

Using Excel

To analyze the data using the logit regression model (Logistic Regression analysis) in Excel, we cannot use regular Analysis ToolPak. But we can use either the XLMiner Analysis ToolPak add-in or the RegressItLogistic add-in. Of course, XLMiner Analysis ToolPak is an add-in for Google Sheets or Excel Online. 

The “RegressItLogistic” add-in was developed by Professor Robert Nau, at the Duke University Business School in North Carolina. Instructions for downloading and using the add-in are at   https://regressit.com/regressitlogistic.html  . Note that we need the add-in that runs regressions including logistic regressions called “RegressItLogistic”. You can use it to run both linear regression and logistic regression models. There is a version for running just linear regression models called “RegressItPC”.

“RegressItLogistic” – Excel Add-In Software

To install “RegressItLogistic”, create a new “c:RegressIt” file folder in which to store your RegressIt files. Then use one of these two links to download the program file:

1. If your computer will not allow the direct download of an executable file, then use this link to get the program file  RegressItLogistic.xlam    (version 2020.03.04)  Right-click this link and choose the "save link as" option to save it to your new RegressIt file folder.

2. Otherwise use this link to get the program file in zip form:  RegressItLogistic.zip Right-click the link and choose the "save link as" option to save it to your RegressIt file folder. Then right-click on the saved file and choose "unzip to here". The program file will be extracted from the zip file.

Then follow these instructions to run the add-in for the first time:

1. To "Unblock" the program file go to the File Explorer, right-click on the file and choose Properties.

· At the bottom of the dialog box check the Unblock box.

· Then click Apply further below the unblock box.

· Then click OK

· This only needs to be done once. You should close the file explorer when running analyses because it may cause errors when producing non-editable graphs.

2. To run the program, start Excel, open the RegressItLogistic.xlam file, and click either "Trust all from the publisher" or "Enable macros" at the security prompt. You should see a RegressIt tab appear at the top of the Excel window. When you click on it you should see the RegressIt ribbon interface. You may click the "Instructions" button at the far right for details on how to load data and begin your analyses.

After you have tested the add-in as specified in the Instructions, please run the three models (using the HMGT400Hospital.CSV dataset we have used for all exercises) and complete the template tables below.

Data Setup for all Analyses (“RegressItLogistic”, "XLMiner Analysis ToolPak" or R :

Create an extract of the HMGT400Hospital.CSV dataset by selecting the columns having the dependent variable “system_member”, and the independent variables Total Hospital Costs, Total Hospital Revenue, Medicare Discharges, Medicaid Discharges, and Total Hospital Discharges. Create the Medicare Discharge ratio and the Medicaid Discharge ratio. Then as you would for all regressions, clean the data by deleting all rows (hospitals) that have missing values or #DIV/0! values. Be sure to state and describe in your report how you cleaned the data, indicating the number of hospitals you deleted and which variables had missing values or #DIV/0! Values. Re-save the data file as a file with a ___.CSV extension.

Using RegressItLogistic

Logit Model 1: Run a logit model to explain the "being a member of a network" variable (system_member). The independent variable is Total Hospital Costs. And choose 0.95 Confidence level. In options select the Logit and Exponentiated Coefficient Table (not just Logit) and request for P-values.The exponentiated coefficients (exp(coeff) ETC.) are the odds ratios. You may also request for the logistic curve or other plots or graphs you want, and request for the high-resolution graph format.

Table 1 – Logit Model 1

 

Coefficient.

ST. ERR

P-Value

 

Exp (coeff.)

Exp (z SE)

Exp (Std. Coeff.)

Intercept

 

Total Hospital Costs

 

 

 

 

 

 

 

R-Squared

 

 

 

 

 

 

 

What is the impact of hospital costs on "being a member of a network"?

 

Logit Model 2: Run a logit model to explain the "being a member of a network" variable (system_member). The independent variables area Total Hospital Costs and Total Hospital Revenues. And choose 0.95 Confidence level. In options select the Logit and Exponentiated Coefficient Table (not just Logit) and request for P-values. You may also request for the logistic curve and high-resolution graph format.

Table 2 – Logit Model 2

 

Coefficient.

ST. ERR

P-Value

 

Exp (coeff.)

Exp (z SE)

Exp (Std. Coeff.)

Intercept

 

 

 

 

 

 

 

Total Hospital Costs

 

 

 

 

 

 

 

Total Hospital Revenue

 

 

 

 

 

 

 

R-Squared

 

 

 

 

 

 

 

What is the impact of hospital costs and hospital revenue on "being a member of a network"?

 

Logit Model 3: For model 3, add the Medicare-discharge-ratio and the Medicaid-discharge-ratio variables to your Model 2, as independent variables.

Table 3 – Logit Model 3

 

Coefficient.

ST. ERR

P-Value

 

Exp (coeff.)

Exp (z SE)

Exp (Std. Coeff.)

Intercept

 

 

 

 

 

 

 

Total Hospital Costs

 

 

 

 

 

 

 

Total Hospital Revenue

 

 

 

 

 

 

 

Medicare discharge ratio

 

 

 

 

 

 

 

Medicaid discharge ratio

 

 

 

 

 

 

 

R-Squared

 

 

 

 

 

 

 

What is the impact of hospital costs and hospital revenue, and each of the two ratios you added in Model 3 on "being a member of a network"?

Based on your findings from the three models, would you recommend that hospitals keep their system memberships? Why or why not? Discuss 3 policies you would advocate for based on your findings.

Please attach any plotted or graphed information you may want to use to make your case.

NOTE: After completing Exercise 5 students may start on the Final Exam (see content in week 8). The final Exam format follows Exercises 1 to 5 with regard to the data analysis. So go back and review the exercises and my feedback to your submissions.

======================================

Using R (Through RStudio)

If you chose to use RStudio you should do the following:

Get the R script from here:   E5-codes

Logit Model 1 : Run a logit model using being a member of a hospital system (system_member) as the dependent variable. The independent variables are Hospital beds, For-Profit Dummy, Public Ownership Dummy, Other Owner Type Dummy.

Note: AIC is the Akaike Information Criterion. The AIC is calculated from: the number of independent variables used to build the model. the “maximum likelihood estimate” of the model (how well the model reproduces the data). AIC is used to compare different possible models and determine which one is the best fit for the data.

Table 1 – Logit Model 1

Coefficient -Estimate

Std. Err

z value

Pr(>|z|)

Exp(coeff.)

Hospital beds

 

 

 

 

For-Profit Dummy

 

 

 

 

Public Ownership Dummy

 

 

 

 

Other Owner Type Dummy

 

 

 

 

AIC =

 

 

 

 

What is the impact of hospital beds and the three ownership dummy variables on "being a member of a network"?

Logit Model 2 : Now, add hospital revenue as an additional independent variable

Table 2 – Logit Model 2

Coefficient.

Std. Err

z value

Pr(>|z|)

Exp(coeff.)

Hospital beds

 

 

 

 

For-Profit Dummy

 

 

 

 

Public Ownership Dummy

 

 

 

 

Other Owner Type Dummy

 

 

 

 

Hospital Revenue

 

 

 

 

AIC =

 

 

 

 

Logit Model 3 : For model 3, add the Medicare-discharge-ratio and the Medicaid-discharge-ratio variables to your Model 2, as additional independent variables.

Coefficient.

Std. Err

z value

Pr(>|z|)

Exp(coeff.)

Hospital beds

 

 

 

 

For-Profit Dummy

 

 

 

 

Public Ownership Dummy

 

 

 

 

Other Owner Type Dummy

 

 

 

 

Hospital Revenue

 

 

 

 

Medicare discharge ratio

 

 

 

 

Medicaid discharge ratio

 

 

 

 

AIC =

 

 

 

 

What is the impact of hospital beds, hospital revenue, the three ownership dummy variables, each of the two ratios you added in Model 3 on " being a member of a hospital system "?

Based on your findings from the three models, would you recommend that hospitals keep their system memberships? Why or why not? Discuss 3 policies you would advocate for based on your findings.

Please attach any plotted or graphed information you may want to use to make your case.

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stata_name stcd year total_hosp_cost total_hosp_revenue hospital_beds bedsize_cat teaching_hospital system_member level_trauma white rural_area herf_cat herf_index non_white log_hosp_cost log_hosp_revenue total_hospital_beds total_hospital_medicare_days total_hospital_medicaid_days interns_and_residents total_hospital_employees_on_payr total_hospital_non_paid_workers total_hospital_medicare_discharg total_hospital_medicaid_discharg total_hospital_discharges own
Arizona 86 2012 1.89E+07 1.73E+07 19 1 0 0 0 58.7 0 1 0 41.3 16.75435 16.66785 168.92 11551.5 8206.92 855.048 2695.488 2867 8879 0
Arizona 86 2012 8.01E+07 7.94E+07 88 3 0 0 0 58.5 0 1 2 41.5 18.19875 18.19 138.02 14629.86 2423.52 1209.024 4117.736 697 6998 1
Arizona 86 2012 1.47E+08 1.33E+08 134 4 0 0 0 82 0 1 2 18 18.80468 18.70265 74.16 3784.2 4354.38 490.464 1305.488 1253 4320 0
Arizona 86 2012 7.74E+07 8.81E+07 72 3 0 0 0 82 0 1 2 18 18.16424 18.29439 25.75 306 225.42 132.84 74.504 66 257 0
Arizona 86 2012 1.53E+08 1.41E+08 187 4 0 0 0 58.7 0 1 2 41.3 18.84588 18.76257 19.57 1545.3 98.94 139.608 259.096 18 429 2
Arizona 86 2012 1.60E+07 1.70E+07 21 1 0 0 0 20.4 1 0 2 79.6 16.58738 16.65044 20.6 1042.44 235.62 185.148 160.128 77 366 2
Arizona 86 2012 7.02E+08 7.55E+08 460 7 0 0 1 55.3 0 1 2 44.7 20.36947 20.4425 493.37 28329.48 46840.44 356.34 4570.98 5216.392 9139 26341 2
Arizona 86 2012 2.07E+07 2.29E+07 14 1 0 0 3 58.5 0 1 2 41.5 16.84361 16.94799 237.93 5724.24 11063.94 95.39 1073.82 1195.4 1481 6836 0
Arizona 86 2012 1.67E+08 1.72E+08 163 4 0 0 3 55.3 0 1 2 44.7 18.93446 18.96016 14.42 961.86 255 154.62 151.232 98 356 1
Arizona 86 2012 2.32E+07 2.06E+07 56 3 0 1 0 16 0 1 2 84 16.95965 16.84255 61.8 3816.84 1180.14 307.2 1159.816 312 2738 0
Arizona 86 2012 9.60E+07 1.20E+08 3550 4 0 1 0 58.7 0 1 0 41.3 18.37936 18.59896 37.08 1138.32 2433.72 315.804 433.68 660 2426 0
Arizona 86 2012 1.31E+08 1.49E+08 110 4 0 1 0 82 0 1 2 18 18.68941 18.82107 101.97 8494.56 3713.82 8 882.924 2048.304 934 4332 1
Arizona 86 2012 1.81E+08 1.99E+08 460 5 0 1 0 58.7 0 1 0 41.3 19.01667 19.10902 360.5 12812.22 9098.4 1110 3155.856 2109 10925 1
Arizona 86 2012 5.37E+07 3.92E+07 3550 2 0 1 0 58.7 0 1 2 41.3 17.79862 17.48499 210.12 10312.2 9235.08 1303.464 2696.6 2715 12235 0
Arizona 86 2012 2.28E+08 2.45E+08 3550 6 0 1 0 58.7 0 1 0 41.3 19.24457 19.31838 354.32 27260.52 9731.82 1711.284 7236.896 2559 18413 1
Arizona 86 2012 3.15E+08 3.79E+08 267 5 0 1 1 55.2 0 2 2 44.8 19.56899 19.7525 252.35 16108.86 15733.5 1894.188 3968.728 3487 12895 2
Arizona 86 2012 2.64E+08 2.81E+08 460 5 0 1 1 58.7 0 1 0 41.3 19.39099 19.45325 273.98 17960.16 16340.4 1704.816 4232.272 3447 16298 2
Arizona 86 2012 4.70E+08 5.17E+08 3550 8 0 1 1 58.7 0 1 0 41.3 19.96899 20.06368 273.98 17960.16 16340.4 1704.816 4232.272 3447 16298 1
Arizona 86 2012 3.94E+08 4.35E+08 3550 7 0 1 1 58.7 0 1 0 41.3 19.79191 19.89182 273.98 17960.16 16340.4 1704.816 4232.272 3447 16298 1
Arizona 86 2012 3.48E+07 3.67E+07 25 2 0 1 3 65.9 0 1 2 34.1 17.36395 17.41857 0
Arizona 86 2012 5.24E+07 5.62E+07 49 2 1 0 0 52.3 0 2 2 47.7 17.77366 17.8452 507.79 29487.18 40869.36 44.66 3096.06 7225.776 8762 29644 1
Arizona 86 2012 4.28E+08 4.54E+08 553 8 1 0 0 55.3 0 1 2 44.7 19.8756 19.9329 50.47 2233.8 2249.1 500.772 563.784 654 2095 0
Arizona 86 2012 1.22E+08 1.23E+08 89 3 1 0 3 43.9 1 1 2 56.1 18.61977 18.62993 91.67 4144.26 5121.42 788.256 1223.2 1544 3712 0
Arizona 86 2012 2.23E+08 2.16E+08 3550 4 1 1 0 58.7 0 1 0 41.3 19.22436 19.19189 244.11 29369.88 2147.1 89.71 5149.536 6878.832 264 12315 2
Arizona 86 2012 2.27E+08 2.68E+08 3550 6 1 1 0 58.7 0 1 0 41.3 19.24058 19.40528 397.58 38496.84 4977.6 1.88 2182.056 9723.328 1340 22069 1
Arizona 86 2012 9.23E+08 9.84E+08 244 5 1 1 0 58.7 0 1 0 41.3 20.64341 20.70665 327.54 32268.72 11889.12 1869.108 8493.456 2780 20464 2
Arizona 86 2012 2.72E+08 2.95E+08 3550 7 1 1 0 58.7 0 1 0 41.3 19.42014 19.50291 169.95 8433.36 12750 1059.324 2466.416 4690 13654 0
Arizona 86 2012 6.06E+08 6.80E+08 3550 8 1 1 1 58.7 0 1 0 41.3 20.22179 20.33736 585.04 37101.48 53716.26 129.3 4415.16 7460.408 10624 36275 0
Arizona 86 2012 1.98E+08 2.41E+08 3550 5 1 1 2 58.7 0 1 0 41.3 19.1031 19.30064 220.42 12159.42 24371.88 1554.48 3299.304 5620 18796 2
Arkansas 71 2012 8125045 7994666 49 2 0 0 0 84 0 1 2 16 15.91046 15.89429 111.24 8150.82 1690.14 717.768 2257.36 803 4634 2
Arkansas 71 2012 7.38E+07 7.72E+07 125 4 0 0 0 95.2 0 2 2 4.800003 18.11635 18.16157 120.51 11514.78 1907.4 704.808 2766.656 561 4925 1
Arkansas 71 2012 7.12E+07 7.71E+07 124 4 0 0 0 89 0 1 2 11 18.08072 18.16073 13.39 1.02 1 1 2
Arkansas 71 2012 2.28E+07 2.36E+07 33 2 0 0 0 68.2 1 0 2 31.8 16.9437 16.97513 25.75 1785 57.12 103.896 394.76 26 502 1
Arkansas 71 2012 1.05E+07 1.03E+07 85 3 0 0 0 71 1 0 2 29 16.16907 16.143 25.75 1164.84 44.88 178.392 306.912 22 395 1
Arkansas 71 2012 1.62E+07 1.88E+07 25 2 0 0 0 40.3 1 0 2 59.7 16.60155 16.75008 25.75 1051.62 194.82 117.936 259.096 62 414 2
Arkansas 71 2012 9525674 8233617 25 2 0 0 0 92.2 1 0 2 7.800003 16.0695 15.92374 25.75 2970.24 762.96 180.468 760.608 429 1243 2
Arkansas 71 2012 2.08E+07 2.22E+07 72 3 0 0 0 84.1 1 0 2 15.9 16.85083 16.91463 25.75 3277.26 839.46 177.708 684.992 144 1136 2
Arkansas 71 2012 1.90E+07 1.95E+07 35 2 0 0 0 58 1 0 2 42 16.75869 16.7843 25.75 1048.56 140.76 108.792 253.536 47 380 1
Arkansas 71 2012 7280002 6124331 26 2 0 0 0 95 1 0 2 5 15.80064 15.62778 25.75 2063.46 1147.5 203.184 529.312 427 1213 2
Arkansas 71 2012 8981868 8779914 25 2 0 0 0 46.8 1 0 2 53.2 16.01072 15.98798 25.75 2063.46 1147.5 203.184 529.312 427 1213 2
Arkansas 71 2012 1.80E+08 1.80E+08