-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- name: log: /Users/jonasradbruch/Dropbox/PhD/channels_defaults/Interventions and Cognitive Spillovers/Final_Documents/ReplicationPackage/EmpiricalAnalysis/out/Randomization_Check.lo > g log type: text opened on: 4 Nov 2021, 09:55:52 . . . use "${PATH_IN_DATA}/formatted_data_replication.dta", clear . keep if round==1 (16,948 observations deleted) . . . set scheme s1color_black_gray . . ********************************** . * Little program to convert matrix . ********************************** . . cap program drop convert . program define convert, eclass 1. matrix list `1' 2. ereturn scalar N=. 3. ereturn matrix mean `1' 4. ereturn local estimates_title="p-values" 5. end . . . . * Generate variables specifallcy needed for balancing table . . egen ability_load_std_1=std(ability_load) if original_lab==1 (329 missing values generated) . egen ability_task_std_1=std(ability_task) if original_lab==1 (329 missing values generated) . . egen ability_load_std=std(ability_load) if original_lab==0 (563 missing values generated) . egen ability_task_std=std(ability_task) if original_lab==0 (563 missing values generated) . . replace ability_load_std=ability_load_std_1 if original_lab==1 (563 real changes made) . replace ability_task_std=ability_task_std_1 if original_lab==1 (563 real changes made) . drop ability_load_std_1 ability_task_std_1 . . label var ability_task_std "Ability Decision Task (std.)" . label var ability_load_std "Ability Background Task (std.)" . . bysort Treatment_Environment Treatment_Incentives: gen obs=_N . label var obs "N" . . . cap drop treatment_id . egen treatment_id=group(Treatment_Environment Treatment_Incentives ) . . . . * Write Balancing table; Different parts are appended after creating results via tabstat . . qui file open table_out using `"${PATH_OUT}/tableO_1.tex"', write replace . file write table_out " \begin{tabular}{l*{13}{c}}" _n . file write table_out "\toprule" _n . file close table_out . . estimates clear . . bysort Treatment_Environment: eststo: estpost tabstat ability_load_std ability_task_std q_age q_gender economist perc_multitasking_2 perc_multitasking_1, by(Treatment_Incentives) > nototal statistics(mean sd) columns(statistics) listwise -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- -> \textsc{Baseline} Summary statistics: mean sd for variables: ability_load_std ability_task_std q_age q_gender economist perc_multitasking_2 perc_multitasking_1 by categories of: Treatment_Incentives Treatment_In | e(mean) e(sd) -------------+---------------------- 10 | ability_l~td | -.0829961 1.051323 ability_ta~d | -.0271519 1.126178 q_age | 23.75524 5.527418 q_gender | .5804196 .4952249 economist | .1258741 .3328734 perc_multi~2 | 54.97203 18.9729 perc_multi~1 | 3.06993 .7750543 -------------+---------------------- 20 | ability_l~td | .1080402 .8993562 ability_ta~d | .0730191 1.024882 q_age | 23.74419 4.440576 q_gender | .5116279 .5057805 economist | .1162791 .324353 perc_multi~2 | 50.44186 19.22462 perc_multi~1 | 3.27907 .7661152 -------------+---------------------- 40 | ability_l~td | .0771499 1.191024 ability_ta~d | .2113969 .7026106 q_age | 22.77778 3.622731 q_gender | .6111111 .5016313 economist | .1666667 .3834825 perc_multi~2 | 51.94444 20.39744 perc_multi~1 | 3.5 1.043185 -------------+---------------------- Ample | ability_l~td | .1600329 .8664755 ability_ta~d | .0808109 1.015158 q_age | 23.12766 4.29612 q_gender | .5851064 .4953455 economist | .1808511 .3869585 perc_multi~2 | 58.59574 18.3949 perc_multi~1 | 2.776596 .7641744 (est1 stored) -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- -> \textsc{Directed Attention} Summary statistics: mean sd for variables: ability_load_std ability_task_std q_age q_gender economist perc_multitasking_2 perc_multitasking_1 by categories of: Treatment_Incentives Treatment_In | e(mean) e(sd) -------------+---------------------- 10 | ability_l~td | .0077178 1.034096 ability_ta~d | -.1013208 .9314255 q_age | 24.3931 5.080322 q_gender | .5448276 .4997126 economist | .1586207 .3665883 perc_multi~2 | 51.30345 20.69095 perc_multi~1 | 3.234483 .8417392 -------------+---------------------- 20 | ability_l~td | -.0953546 .8044514 ability_ta~d | .0859819 .958236 q_age | 23.14286 3.764866 q_gender | .5952381 .4967958 economist | .1428571 .3541688 perc_multi~2 | 52.64286 18.76403 perc_multi~1 | 3.142857 .7513055 -------------+---------------------- 40 | ability_l~td | .2767103 .9146411 ability_ta~d | .2062629 .7104906 q_age | 25.63158 10.92505 q_gender | .3684211 .4955946 economist | .1052632 .3153018 perc_multi~2 | 62.78947 20.63863 perc_multi~1 | 2.789474 .976328 -------------+---------------------- Ample | ability_l~td | -.1081175 .9676196 ability_ta~d | .1208537 .9243445 q_age | 23.32979 3.535954 q_gender | .6170213 .4887197 economist | .1276596 .3354997 perc_multi~2 | 61.6383 18.29381 perc_multi~1 | 2.659574 .8237495 (est2 stored) -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- -> \textsc{Forced Choice} Summary statistics: mean sd for variables: ability_load_std ability_task_std q_age q_gender economist perc_multitasking_2 perc_multitasking_1 by categories of: Treatment_Incentives Treatment_In | e(mean) e(sd) -------------+---------------------- 10 | ability_l~td | -.007574 .9835673 ability_ta~d | -.0145027 1.011907 q_age | 23.69565 4.370787 q_gender | .5144928 .5016107 economist | .173913 .3804155 perc_multi~2 | 53.42754 19.04466 perc_multi~1 | 3.181159 .7372815 -------------+---------------------- 20 | ability_l~td | .2824302 .8280313 ability_ta~d | .2309059 .7403143 q_age | 23.625 4.661284 q_gender | .65 .4830459 economist | .1 .3038218 perc_multi~2 | 56.425 21.2046 perc_multi~1 | 3.075 .7970297 -------------+---------------------- 40 | ability_l~td | -.1740166 1.230358 ability_ta~d | -.471418 1.273798 q_age | 22.8 3.13889 q_gender | .65 .4893605 economist | .1 .3077935 perc_multi~2 | 59.35 13.65081 perc_multi~1 | 3.35 .6708204 -------------+---------------------- Ample | ability_l~td | -.0853061 1.137883 ability_ta~d | -.1319161 1.045988 q_age | 24.73958 6.090968 q_gender | .5520833 .4998903 economist | .15625 .3649982 perc_multi~2 | 57.51042 18.36873 perc_multi~1 | 2.635417 .6508261 (est3 stored) . . * copy mean matrix such that p-values vector has the correct length etc. . matrix p_values=e(mean) . local i=0 . foreach var of varlist ability_load_std ability_task_std q_age q_gender economist perc_multitasking_2 perc_multitasking_1 { 2. local i=1+`i' 3. kwallis `var' , by(treatment_id) 4. local p=chi2tail(`r(df)',`r(chi2_adj)') 5. matrix p_values[1,`i']=`p' 6. } Kruskal-Wallis equality-of-populations rank test +---------------------------+ | treatm~d | Obs | Rank Sum | |----------+-----+----------| | 1 | 143 | 61428.00 | | 2 | 43 | 19871.00 | | 3 | 18 | 8593.50 | | 4 | 94 | 44705.50 | | 5 | 145 | 65500.50 | |----------+-----+----------| | 6 | 42 | 17802.50 | | 7 | 19 | 9984.00 | | 8 | 94 | 38621.50 | | 9 | 138 | 60830.50 | | 10 | 40 | 20974.50 | |----------+-----+----------| | 11 | 20 | 8295.00 | | 12 | 96 | 41671.50 | +---------------------------+ chi-squared = 10.448 with 11 d.f. probability = 0.4906 chi-squared with ties = 10.569 with 11 d.f. probability = 0.4801 Kruskal-Wallis equality-of-populations rank test +---------------------------+ | treatm~d | Obs | Rank Sum | |----------+-----+----------| | 1 | 143 | 64730.00 | | 2 | 43 | 20658.00 | | 3 | 18 | 8965.00 | | 4 | 94 | 43585.00 | | 5 | 145 | 59360.00 | |----------+-----+----------| | 6 | 42 | 19860.50 | | 7 | 19 | 9316.50 | | 8 | 94 | 44307.50 | | 9 | 138 | 61030.00 | | 10 | 40 | 19581.00 | |----------+-----+----------| | 11 | 20 | 7125.50 | | 12 | 96 | 39759.00 | +---------------------------+ chi-squared = 11.959 with 11 d.f. probability = 0.3667 chi-squared with ties = 12.163 with 11 d.f. probability = 0.3515 Kruskal-Wallis equality-of-populations rank test +---------------------------+ | treatm~d | Obs | Rank Sum | |----------+-----+----------| | 1 | 143 | 60712.00 | | 2 | 43 | 19325.50 | | 3 | 18 | 6986.50 | | 4 | 94 | 38487.50 | | 5 | 145 | 69592.00 | |----------+-----+----------| | 6 | 42 | 17176.50 | | 7 | 19 | 8922.50 | | 8 | 94 | 41730.00 | | 9 | 138 | 61793.00 | | 10 | 40 | 17457.50 | |----------+-----+----------| | 11 | 20 | 8221.50 | | 12 | 96 | 47873.50 | +---------------------------+ chi-squared = 11.789 with 11 d.f. probability = 0.3797 chi-squared with ties = 11.905 with 11 d.f. probability = 0.3708 Kruskal-Wallis equality-of-populations rank test +---------------------------+ | treatm~d | Obs | Rank Sum | |----------+-----+----------| | 1 | 143 | 64903.00 | | 2 | 43 | 18197.00 | | 3 | 18 | 8416.00 | | 4 | 94 | 42860.00 | | 5 | 145 | 63509.00 | |----------+-----+----------| | 6 | 42 | 19340.00 | | 7 | 19 | 6827.00 | | 8 | 94 | 44198.00 | | 9 | 138 | 58576.00 | | 10 | 40 | 19396.00 | |----------+-----+----------| | 11 | 20 | 9698.00 | | 12 | 96 | 42358.00 | +---------------------------+ chi-squared = 6.351 with 11 d.f. probability = 0.8490 chi-squared with ties = 8.608 with 11 d.f. probability = 0.6580 Kruskal-Wallis equality-of-populations rank test +---------------------------+ | treatm~d | Obs | Rank Sum | |----------+-----+----------| | 1 | 143 | 62511.00 | | 2 | 43 | 18613.00 | | 3 | 18 | 8196.00 | | 4 | 94 | 43396.00 | | 5 | 145 | 65503.00 | |----------+-----+----------| | 6 | 42 | 18678.00 | | 7 | 19 | 8131.00 | | 8 | 94 | 41166.00 | | 9 | 138 | 63282.00 | | 10 | 40 | 17024.00 | |----------+-----+----------| | 11 | 20 | 8512.00 | | 12 | 96 | 43266.00 | +---------------------------+ chi-squared = 1.643 with 11 d.f. probability = 0.9994 chi-squared with ties = 4.371 with 11 d.f. probability = 0.9578 Kruskal-Wallis equality-of-populations rank test +---------------------------+ | treatm~d | Obs | Rank Sum | |----------+-----+----------| | 1 | 143 | 62255.00 | | 2 | 43 | 16477.50 | | 3 | 18 | 7250.00 | | 4 | 94 | 45948.00 | | 5 | 145 | 57597.00 | |----------+-----+----------| | 6 | 42 | 17288.00 | | 7 | 19 | 10329.50 | | 8 | 94 | 49523.00 | | 9 | 138 | 57357.50 | | 10 | 40 | 18723.00 | |----------+-----+----------| | 11 | 20 | 10136.50 | | 12 | 96 | 45393.00 | +---------------------------+ chi-squared = 28.195 with 11 d.f. probability = 0.0030 chi-squared with ties = 28.334 with 11 d.f. probability = 0.0029 Kruskal-Wallis equality-of-populations rank test +---------------------------+ | treatm~d | Obs | Rank Sum | |----------+-----+----------| | 1 | 143 | 66141.50 | | 2 | 43 | 22476.00 | | 3 | 18 | 10447.50 | | 4 | 94 | 35759.00 | | 5 | 145 | 73276.50 | |----------+-----+----------| | 6 | 42 | 20319.50 | | 7 | 19 | 7345.00 | | 8 | 94 | 32053.00 | | 9 | 138 | 68915.50 | | 10 | 40 | 18476.50 | |----------+-----+----------| | 11 | 20 | 11093.00 | | 12 | 96 | 31975.00 | +---------------------------+ chi-squared = 68.690 with 11 d.f. probability = 0.0001 chi-squared with ties = 79.449 with 11 d.f. probability = 0.0001 . . matrix p_values=p_values[1,1..7] . matrix coleq p_values=p-value p-value p-value p-value p-value p-value . . * Convert p-values to estimation result and store it . convert p_values p_values[1,7] p-value: p-value: p-value: p-value: p-value: p-value: p-value: ability_l~td ability_ta~d q_age q_gender economist perc_multi~2 perc_multi~1 mean .48007895 .35150558 .37080276 .6580305 .95777448 .00287702 1.886e-12 . eststo p_values . . esttab est* p_values using `"${PATH_OUT}/tableO_1.tex"', /// > main(mean %5.2f) aux(sd %5.2f) nostar unstack /// > noobs nonote label append booktabs compress /// > nonumber nomtitles frag /// > mgroups("\textsc{Baseline}" "\textsc{Directed Attention}" "\textsc{Forced Choice}" "Kruskal-Wallis" , /// > pattern(1 1 1 1) prefix(\multicolumn{@span}{c}{) suffix(}) span erepeat(\cmidrule(lr){@span})) /// > (output written to /Users/jonasradbruch/Dropbox/PhD/channels_defaults/Interventions and Cognitive Spillovers/Final_Documents/ReplicationPackage/EmpiricalAnalysis/out/tableO_1.tex) . . . * As tabstat uses only observation with no missings, perform second part where only data from certain waves are available . estimates clear . bysort Treatment_Environment: eststo: estpost tabstat raven_score treatment_id, by(Treatment_Incentives) nototal statistics(mean sd) columns(statistics) listwise -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- -> \textsc{Baseline} Summary statistics: mean sd for variables: raven_score treatment_id by categories of: Treatment_Incentives Treatment_In | e(mean) e(sd) -------------+---------------------- 10 | raven_score | 6.125 1.481464 treatment_id | 1 0 -------------+---------------------- 20 | raven_score | 5.976744 1.388531 treatment_id | 2 0 -------------+---------------------- 40 | raven_score | 6.722222 1.48742 treatment_id | 3 0 -------------+---------------------- Ample | raven_score | 6.086957 1.871732 treatment_id | 4 0 (est1 stored) -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- -> \textsc{Directed Attention} Summary statistics: mean sd for variables: raven_score treatment_id by categories of: Treatment_Incentives Treatment_In | e(mean) e(sd) -------------+---------------------- 10 | raven_score | 6.173469 1.579674 treatment_id | 5 0 -------------+---------------------- 20 | raven_score | 6.214286 1.881044 treatment_id | 6 0 -------------+---------------------- 40 | raven_score | 6.842105 1.641922 treatment_id | 7 0 -------------+---------------------- Ample | raven_score | 6.195652 1.627808 treatment_id | 8 0 (est2 stored) -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- -> \textsc{Forced Choice} Summary statistics: mean sd for variables: raven_score treatment_id by categories of: Treatment_Incentives Treatment_In | e(mean) e(sd) -------------+---------------------- 10 | raven_score | 5.934066 1.533349 treatment_id | 9 0 -------------+---------------------- 20 | raven_score | 6.475 1.518898 treatment_id | 10 0 -------------+---------------------- 40 | raven_score | 6.3 1.838191 treatment_id | 11 0 -------------+---------------------- Ample | raven_score | 6.0625 1.972214 treatment_id | 12 0 (est3 stored) . . * copy mean matrix such that p-values vector has the correct length etc. . matrix p_values=e(mean) . local i=0 . foreach var of varlist raven_score treatment_id{ 2. local i=1+`i' 3. kwallis `var' , by(treatment_id) 4. local p=chi2tail(`r(df)',`r(chi2_adj)') 5. matrix p_values[1,`i']=`p' 6. } Kruskal-Wallis equality-of-populations rank test +---------------------------+ | treatm~d | Obs | Rank Sum | |----------+-----+----------| | 1 | 96 | 28235.00 | | 2 | 43 | 12149.50 | | 3 | 18 | 6393.50 | | 4 | 46 | 13863.00 | | 5 | 98 | 29883.00 | |----------+-----+----------| | 6 | 42 | 13495.50 | | 7 | 19 | 7402.00 | | 8 | 46 | 14270.50 | | 9 | 91 | 24656.50 | | 10 | 40 | 13312.00 | |----------+-----+----------| | 11 | 20 | 6197.00 | | 12 | 48 | 14670.50 | +---------------------------+ chi-squared = 11.825 with 11 d.f. probability = 0.3769 chi-squared with ties = 12.277 with 11 d.f. probability = 0.3432 Kruskal-Wallis equality-of-populations rank test +---------------------------+ | treatm~d | Obs | Rank Sum | |----------+-----+----------| | 1 | 143 | 10296.00 | | 2 | 43 | 7095.00 | | 3 | 18 | 3519.00 | | 4 | 94 | 23641.00 | | 5 | 145 | 53795.00 | |----------+-----+----------| | 6 | 42 | 19509.00 | | 7 | 19 | 9405.00 | | 8 | 94 | 51841.00 | | 9 | 138 | 92115.00 | | 10 | 40 | 30260.00 | |----------+-----+----------| | 11 | 20 | 15730.00 | | 12 | 96 | 81072.00 | +---------------------------+ chi-squared = 876.708 with 11 d.f. probability = 0.0001 chi-squared with ties = 891.000 with 11 d.f. probability = 0.0001 . . matrix p_values=p_values[1,1..2] . matrix coleq p_values=p-value p-value . . * Convert p-values to estimation result and store it . convert p_values p_values[1,2] p-value: p-value: raven_score treatment_id mean .34319171 5.34e-184 . eststo p_values . . esttab est* p_values using `"${PATH_OUT}/tableO_1.tex"', /// > append frag /// > drop(treatment_id) /// refcat(raven_score "\emph{2nd Wave only}", nolabel) nobaselevels /// > main(mean %5.2f) aux(sd %5.2f) nostar unstack /// > eqlabels(none) nolines /// > noobs nonote label booktabs compress /// > nomtitles nodepvar nonumber (output written to /Users/jonasradbruch/Dropbox/PhD/channels_defaults/Interventions and Cognitive Spillovers/Final_Documents/ReplicationPackage/EmpiricalAnalysis/out/tableO_1.tex) . . estimates clear . bysort Treatment_Environment: eststo: estpost tabstat original_lab treatment_id, by(Treatment_Incentives) nototal statistics(mean sd) columns(statistics) listwise -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- -> \textsc{Baseline} Summary statistics: mean sd for variables: original_lab treatment_id by categories of: Treatment_Incentives Treatment_In | e(mean) e(sd) -------------+---------------------- 10 | original_lab | .6573427 .4762662 treatment_id | 1 0 -------------+---------------------- 20 | original_lab | 0 0 treatment_id | 2 0 -------------+---------------------- 40 | original_lab | 0 0 treatment_id | 3 0 -------------+---------------------- Ample | original_lab | 1 0 treatment_id | 4 0 (est1 stored) -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- -> \textsc{Directed Attention} Summary statistics: mean sd for variables: original_lab treatment_id by categories of: Treatment_Incentives Treatment_In | e(mean) e(sd) -------------+---------------------- 10 | original_lab | .662069 .4746445 treatment_id | 5 0 -------------+---------------------- 20 | original_lab | 0 0 treatment_id | 6 0 -------------+---------------------- 40 | original_lab | 0 0 treatment_id | 7 0 -------------+---------------------- Ample | original_lab | 1 0 treatment_id | 8 0 (est2 stored) -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- -> \textsc{Forced Choice} Summary statistics: mean sd for variables: original_lab treatment_id by categories of: Treatment_Incentives Treatment_In | e(mean) e(sd) -------------+---------------------- 10 | original_lab | .6449275 .4802786 treatment_id | 9 0 -------------+---------------------- 20 | original_lab | 0 0 treatment_id | 10 0 -------------+---------------------- 40 | original_lab | 0 0 treatment_id | 11 0 -------------+---------------------- Ample | original_lab | 1 0 treatment_id | 12 0 (est3 stored) . esttab est* using `"${PATH_OUT}/tableO_1.tex"', /// > append frag drop(treatment_id) /// > main(mean %4.0g) nostar unstack /// > eqlabels(none) /// > noobs nonote label booktabs compress /// > nomtitles nodepvar nonumber (output written to /Users/jonasradbruch/Dropbox/PhD/channels_defaults/Interventions and Cognitive Spillovers/Final_Documents/ReplicationPackage/EmpiricalAnalysis/out/tableO_1.tex) . . estimates clear . bysort Treatment_Environment: eststo: estpost tabstat obs treatment_id, by(Treatment_Incentives) nototal statistics(mean sd) columns(statistics) listwise -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- -> \textsc{Baseline} Summary statistics: mean sd for variables: obs treatment_id by categories of: Treatment_Incentives Treatment_In | e(mean) e(sd) -------------+---------------------- 10 | obs | 143 0 treatment_id | 1 0 -------------+---------------------- 20 | obs | 43 0 treatment_id | 2 0 -------------+---------------------- 40 | obs | 18 0 treatment_id | 3 0 -------------+---------------------- Ample | obs | 94 0 treatment_id | 4 0 (est1 stored) -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- -> \textsc{Directed Attention} Summary statistics: mean sd for variables: obs treatment_id by categories of: Treatment_Incentives Treatment_In | e(mean) e(sd) -------------+---------------------- 10 | obs | 145 0 treatment_id | 5 0 -------------+---------------------- 20 | obs | 42 0 treatment_id | 6 0 -------------+---------------------- 40 | obs | 19 0 treatment_id | 7 0 -------------+---------------------- Ample | obs | 94 0 treatment_id | 8 0 (est2 stored) -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- -> \textsc{Forced Choice} Summary statistics: mean sd for variables: obs treatment_id by categories of: Treatment_Incentives Treatment_In | e(mean) e(sd) -------------+---------------------- 10 | obs | 138 0 treatment_id | 9 0 -------------+---------------------- 20 | obs | 40 0 treatment_id | 10 0 -------------+---------------------- 40 | obs | 20 0 treatment_id | 11 0 -------------+---------------------- Ample | obs | 96 0 treatment_id | 12 0 (est3 stored) . esttab est* using `"${PATH_OUT}/tableO_1.tex"', /// > append frag drop(treatment_id) /// > main(mean %5.0g) nostar unstack /// > eqlabels(none) /// > noobs nonote label booktabs compress /// > nomtitles nodepvar nonumber (output written to /Users/jonasradbruch/Dropbox/PhD/channels_defaults/Interventions and Cognitive Spillovers/Final_Documents/ReplicationPackage/EmpiricalAnalysis/out/tableO_1.tex) . . qui file open table_out using `"${PATH_OUT}/tableO_1.tex"', write append . file write table_out "\bottomrule" _n . file write table_out "\end{tabular}" _n . file close table_out . . . . log close name: log: /Users/jonasradbruch/Dropbox/PhD/channels_defaults/Interventions and Cognitive Spillovers/Final_Documents/ReplicationPackage/EmpiricalAnalysis/out/Randomization_Check.lo > g log type: text closed on: 4 Nov 2021, 09:55:52 --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------