BUSN5000 HW5 Part B

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9/25/23, 5 : 37 PM Homework 5: Measurement Error and Sample Selection Page 1 of 10 https://chris-cornwell.shinyapps.io/Assignment_5/#section-b.-empirical-exercise B. Empirical exercise Using the Project Star data provided in the AER package, you will estimate the e ! ect of class size on student achievement. Substantively, you will be replicating the Column (1) results in Table V of Krueger (1999), except with testing data reported in raw scores, not percentiles. Thus, the scale of your estimated e ! ects will be di ! erent. A few provenance questions Using the STAR data vignette located here (https://cran.r- project.org/web/packages/AER/AER.pdf) answer a few questions about the provenance of the data you we using in this exercise. Question 1: The data set has _____ observations and _____ variables. The data set has _____ observations and _____ variables. The data set has _____ observations and _____ variables. The data set has _____ observations and _____ variables. 11598, 47 Correct! Question 2: The STAR experiment assigned students to three class types: The STAR experiment assigned students to three class types: The STAR experiment assigned students to three class types: The STAR experiment assigned students to three class types: _____, _____, and _____.(Place them in order of class size _____, _____, and _____.(Place them in order of class size _____, _____, and _____.(Place them in order of class size _____, _____, and _____.(Place them in order of class size smallest to largest) smallest to largest) smallest to largest) smallest to largest) small, regular, regular+aide Correct! Question 3: A small class was defined as having between _____ and _____ A small class was defined as having between _____ and _____ A small class was defined as having between _____ and _____ A small class was defined as having between _____ and _____ students. students. students. students. 13, 17 Correct! Homework 5: Homework 5: Measurement Measurement Error and Error and Sample Sample Selection Selection A. Short answer (https://chris- cornwell.shinyapps.io/Assignment_5/#section- a.-short- answer) B. Empirical exercise (https://chris- cornwell.shinyapps.io/Assignment_5/#section- b.- empirical- exercise) Submission Start Over

9/25/23, 5 : 37 PM Homework 5: Measurement Error and Sample Selection Page 2 of 10 https://chris-cornwell.shinyapps.io/Assignment_5/#section-b.-empirical-exercise Question 4: A regular class was defined as having between _____ and _____ A regular class was defined as having between _____ and _____ A regular class was defined as having between _____ and _____ A regular class was defined as having between _____ and _____ students. students. students. students. 22, 25 Correct! Continue Estimating class-size effects using original and new students Now let’s turn to the estimation of class-size e ! ects, comparing the findings for the original kindergartners with the larger sample that includes new students who entered the experiment in later grades. The first order of business is to attach the data and create the test score variables. Section 2 of the slide deck can help with this. R Code ! Start Over ▶ Run Code ge ge… <fct> ethnicity ethnicity <fct> birth birth <yearqtr> stark stark <fct> star1 star1 <fct> star2 star2 <fct> 1122 female afam 1979 Q3 # load the library with the data data(STAR) # load the specific dataset STAR2 <- STAR %>% mutate( scorek= readk + mathk, # create the kinderga score1= read1 + math1, # create the 1st grad score2= read2 + math2, # create the 2nd grad score3= read3 + math3 # create the 3rd grad ) STAR2 NA NA NA 1 2 3 4 5 6 7 8 9 10

9/25/23, 5 : 37 PM Homework 5: Measurement Error and Sample Selection Page 3 of 10 https://chris-cornwell.shinyapps.io/Assignment_5/#section-b.-empirical-exercise Question 5: The second observation has the gender of _______, birth year The second observation has the gender of _______, birth year The second observation has the gender of _______, birth year The second observation has the gender of _______, birth year of ______, and was in a ______ type of class in the second of ______, and was in a ______ type of class in the second of ______, and was in a ______ type of class in the second of ______, and was in a ______ type of class in the second grade grade grade grade female, 1980, small Correct! Now, using the st function, replicate Table 3 in the deck to produce four tables of summary statistics, one for each grade. The kindergarten statistics should be the same as those reported in Table 3. Then, answer a few questions. Next 1 2 3 4 5 6 ... 100 Previous 1137 female cauc 1980 Q1 small small small 1143 female afam 1979 Q4 small small regula 1160 male cauc 1979 Q4 1183 male afam 1980 Q1 regular+aide 1195 male cauc 1979 Q3 regula 1215 male afam 1979 Q1 1224 female cauc 1979 Q4 regular+aide regula 1246 male cauc 1979 Q2 regular regula 1258 male cauc 1979 Q3 regular regula 1-10 of 1,000 ro… NA NA NA NA NA NA NA NA NA NA NA NA NA R Code ! Start Over ▶ Run Code #Generate summary statistics for Kindergarten 1

9/25/23, 5 : 37 PM Homework 5: Measurement Error and Sample Selection Page 4 of 10 https://chris-cornwell.shinyapps.io/Assignment_5/#section-b.-empirical-exercise Test scores by class type, Kindergarten grade stark stark regular regular small small regular+aide regular+aide Variable Variable N Mean Mean SD SD N Mean Mean SD SD N Mean Mean SD SD scorek 2005 918 73 1738 932 76 2043 918 71 Test scores by class type, 1st grade stark stark regular regular small small regular+aide regular+aide Variable Variable N Mean Mean SD SD N Mean Mean SD SD N Mean Mean SD SD score1 1456 1057 91 1339 1076 95 1503 1054 91 Test scores by class type, 2nd grade stark stark regular regular small small regular+aide regular+aide Variable Variable N Mean Mean SD SD N Mean Mean SD SD N Mean Mean SD SD score2 1201 1179 83 1080 1189 85 1183 1175 83 Test scores by class type, 3rd grade stark stark regular regular small small regular+aide regular+aide Variable Variable N Mean Mean SD SD N Mean Mean SD SD N Mean Mean SD SD score3 1047 1247 70 937 1258 73 1021 1247 73 #Generate summary statistics for Kindergarten st(STAR2, vars=c('scorek'), group='stark', title="Test scores by class type, Kindergarte #Generate summary statistics for 1st grade st(STAR2, vars=c('score1'), group='stark', title="Test scores by class type, 1st grade") #Generate summary statistics for 2nd grade st(STAR2, vars=c('score2'), group='stark', title="Test scores by class type, 2nd grade") 1 2 3 4 5 6 7 8 9 10

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