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ARM Models Sorted by Chapter
Each chapter has a README file on github that you can view by clicking on the chapter link and scrolling down (past the files). The README file contains information about the data contained in the chapter (particularly, what each variable represents) and sorts the models in the chapter by type.
If there is a * next to a model name, then the model DOES NOT currently work with RStanARM. Furthermore, multilevel models are not currently supported by RStanARM, but all other models below (without a *) are supported.
- Chapter 2 - Concepts and Methods from Basic Probability and Statistics
- Chapter 3 - Linear Regression: the Basics
- Chapter 4 - Linear Regression: Before and After Fitting the Model
- Chapter 5 - Logistic Regression
- Chapter 6 - Generalized Linear Models
- Chapter 7 - Simulation of Probability Models and Statistical Inference
- Chapter 8 - Simulation for Checking Statistical Procedures and Model Fits
- Chapter 9 - Causal Inference Using Regression on the Treatment Variable
- Chapter 10 - Causal Inference Using More Advanced Models
- Chapter 11 - Multilevel Structures
- Chapter 12 - Multilevel Linear Models: the Basics
- Chapter 13 - Multilevel Linear Models: Varying Slopes, Non-Nested Models, and Other Complexities
- Chapter 14 - Multilevel Logistic Regression
- Chapter 15 - Multilevel Generalized Linear Models
- Chapter 16 - Multilevel Modeling in Bugs and R: the Basics
- Chapter 17 - Fitting Multilevel Linear and Generalized Linear Models in Bugs and R
- Chapter 18 - Likelihood and Bayesian Inference and Computation
- Chapter 19 - Debugging and Speeding Convergence
- Chapter 20 - Sample Size and Power Calculations
- Chapter 21 - Understanding and Summarizing the Fitted Models
- Chapter 22 - Analysis of Variance
- Chapter 23 - Causal Inference Using Multilevel Models
- Chapter 24 - Model Checking and Comparison
- Chapter 25 - Missing-Data Imputation
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kidscore_momhs: linear model with one predictor
lm (kid_score ~ mom_hs)
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kidscore_momiq: linear model with one predictor
lm (kid_score ~ mom_iq)
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kidiq_multi_preds: linear model with two predictors
lm (kid_score ~ mom_hs mom_iq)
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kidiq_multi_preds: linear model with two predictors
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kidiq_interaction: linear model with two predictors and interaction
lm (kid_score ~ mom_hs mom_iq mom_hs:mom_iq)
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kidiq_interaction: linear model with two predictors and interaction
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kidiq_multi_preds: linear model with two predictors
lm (kid_score ~ mom_hs mom_iq)
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kidiq_multi_preds: linear model with two predictors
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kidscore_momiq: linear model with one predictor
lm (kid_score ~ mom_iq)
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kidiq_multi_preds: linear model with two predictors
lm (kid_score ~ mom_hs mom_iq)
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kidiq_interaction: linear model with two predictors and interaction
lm (kid_score ~ mom_hs mom_iq mom_hs:mom_iq)
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kidscore_momiq: linear model with one predictor
lm (kid_score ~ mom_iq)
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kidscore_momiq: linear model with one predictor
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kidiq_multi_preds: linear model with two predictors
lm (kid_score ~ mom_hs mom_iq)
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kidiq_validation: linear model with two predictors
lm (ppvt ~ hs afqt)
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earn_height: linear model with one predictor
lm (earnings ~ height)
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kidiq_interaction: linear model with two predictors and interaction
lm (kid_score ~ mom_hs mom_iq mom_hs:mom_iq)
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kidiq_interaction_c: linear model with two predictors and interaction centered using mean
lm (kid_score ~ c_mom_hs c_mom_iq c_mom_hs:c_mom_iq)
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kidiq_interaction_c2: linear model with two predictors and interaction centered using conventional points
lm (kid_score ~ c2_mom_hs c2_mom_iq c2_mom_hs:c2_mom_iq)
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kidiq_interaction_z: linear model with two predictors and interaction centered using z-score
lm (kid_score ~ z_mom_hs z_mom_iq z_mom_hs:z_mom_iq)
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logearn_height: linear model with one predictor and natural log transformation
lm (log_earnings ~ height)
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log10earn_height: linear model with one predictor and log10 transformation
lm (log10_earnings ~ height)
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logearn_height_male: linear model with two predictors and natural log transformation
lm (log_earnings ~ height male)
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logearn_interaction: linear model with two predictors and interaction and natural log transformation
lm (log_earnings ~ height male height:male)
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logearn_interaction_z: linear model with two predictors and interaction and natural log transformation centered using z-score
lm (log_earnings ~ z_height male z_height:male)
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logearn_logheight: linear model with two predictors and log log transformation
lm (log_earnings ~ log_height male)
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kidscore_momwork: linear model with one factor
lm (kid_score ~ as.factor(mom_work))
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mesquite: linear model with six predictors
lm (weight~ diam1 diam2 canopy_height total_height density group)
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mesquite_log: linear model with six predictors and log transformation
lm (log_weight~ log_diam1 log_diam2 log_canopy_height log_total_height log_density group)
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mesquite_volume: linear model with one transformed predictor and log transformation
lm (log_weight ~ log_canopy_volume)
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mesquite_vas: linear model with three predictors and three transformed predictors and log transformation
lm (log_weight ~ log_canopy_volume log_canopy_area log_canopy_shape log_total_height log_density group)
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mesquite_va: linear model with one predictor and two transformed predictors and log transformation
lm (log_weight ~ log_canopy_volume log_canopy_area group)
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mesquite_vash: linear model with two predictors and three transformed predictors and log transformation
lm (log_weight ~ log_canopy_volume log_canopy_area log_canopy_shape log_total_height group)
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nes: linear model with eight predictors
lm (partyid7 ~ real_ideo race_adj age30_44 age45_64 age65up educ1 gender income)
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nes_logit: generalized linear model with logit link function and one predictor
glm (vote ~ income, family=binomial(link="logit"))
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nes_logit: generalized linear model with logit link function and one predictor
glm (vote ~ income, family=binomial(link="logit"))
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wells_dist: generalized linear model with logit link function and one predictor
glm (switched ~ dist, family=binomial(link="logit"))
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wells_dist100: generalized linear model with logit link function and one predictor
glm (switched ~ dist100, family=binomial(link="logit"))
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wells_interaction: generalized linear model with logit link function and two predictors and interaction
glm (switched ~ dist100 arsenic dist100:arsenic, family=binomial(link="logit"))
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wells_interaction_c: generalized linear model with logit link function with two predictors and interaction centered using mean
glm (switched ~ c_dist100 c_arsenic c_dist100:c_arsenic, family=binomial(link="logit"))
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wells_daae_c: generalized linear model with logit link function and four predictors and interaction centered using mean
glm (switched ~ c_dist100 c_arsenic c_dist100:c_arsenic assoc educ4, family=binomial(link="logit"))
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wells_dae_c: generalized linear model with logit link function and three predictors and interaction centered using mean
glm (switched ~ c_dist100 c_arsenic c_dist100:c_arsenic educ4, family=binomial(link="logit"))
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wells_predicted: generalized linear model with logit link function and three predictors and interaction centered using mean
glm (switched ~ c_dist100 c_arsenic c_educ4 c_dist100:c_arsenic c_dist100:c_educ4 c_arsenic:c_educ4, family=binomial(link="logit"))
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wells_predicted: generalized linear model with logit link function with three predictors and interaction centered using mean
glm (switc ~ c_dist100 c_arsenic c_educ4 c_dist100:c_arsenic c_dist100:c_educ4 c_arsenic:c_educ4, family=binomial(link="logit"))
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wells_predicted_log: generalized linear model with logit link function with three predictors and interaction with log transform and centered using mean
glm (switched ~ c_dist100 c_log_arsenic c_educ4 c_dist100:c_log_arsenic c_dist100:c_educ4 c_log_arsenic:c_educ4, family=binomial(link="logit"))
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wells_predicted_log: generalized linear model with logit link function with three predictors and interaction with log transform and centered using mean
glm (switched ~ c_dist100 c_log_arsenic c_educ4 c_dist100:c_log_arsenic c_dist100:c_educ4 c_log_arsenic:c_educ4, family=binomial(link="logit"))
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wells_dae: generalized linear model with logit link function and three predictors
glm (switched ~ dist100 arsenic educ4, family=binomial(link="logit"))
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wells_dae_inter: generalized linear model with logit link function and three predictors with interaction
glm (switched ~ dist100 arsenic educ4 dist100:arsenic, family=binomial(link="logit"))
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separation: generalized linear model with logit link function and one predictor
glm (y ~ x, family=binomial(link="logit"))
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wells_probit: generalized linear model with probit link function and one predictor
glm (switc ~ dist100, family=binomial(link="probit"))
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6.5 Ordered & Unordered Categorical Regression - MISSING DATA
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earnings1: generalized linear model with logit link function and two predictors
glm (earn_pos ~ height male, family=binomial(link="logit"))
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earnings2: linear model with two predictors and log transformation
lm (log_earn ~ height male, subset=earn>0)
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wells_logit: generalized linear model with logit link function and one predictor
glm (switc ~ dist100, family=binomial(link="logit"))
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earnings_interactions: linear model with two predictors and interaction and log transformation
lm (log_earn ~ height male height:male)
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congress: linear model with two predictors
lm (vote_88 ~ vote_86 incumbency_88)
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wells: generalized linear model with logit link function and one predictor
glm (switc ~ dist, family=binomial(link="logit"))
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earnings1: generalized linear model with logit link function and two predictors
glm (earn_pos ~ height male, family=binomial(link="logit"))
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earnings2: linear model with two predictors and log transformation
lm (log_earn ~ height male, subset=earn>0)
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y_x: linear model with one predictor
lm (y ~ x)
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grades: linear model with one predictor
lm (final ~ midterm)
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lightspeed: linear model with no predictors
lm (y ~ 1)
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roaches: poisson regression model with exposure and three predictors
glm (y ~ roach1 treatment senior, family=poisson, offset=log(exposure2))
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roaches_overdispersion: poisson overdispersion regression model with exposure and three predictors
glm(y ~ roach1 treatment senior, family=quasipoisson, offset=log(exposure2))
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unemployment: linear model with one predictor
lm (y ~ y_lag)
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electric_tr: linear model with one predictor
lm (post_test ~ treatment)
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electric_trpre: linear model with two predictors
lm (post_test ~ pre_test treatment)
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electric_tr: linear model with one predictor
lm (post_test ~ treatment)
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electric_trpre: linear model with two predictors
lm (post_test ~ treatment pre_test)
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electric_inter: linear model with two predictors and interaction
lm (post_test ~ pre_test treatment pre_test:treatment)
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electric_supp: linear model with two predictors and interaction
lm (post_test ~ supp pre_test)
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ideo_two_pred: linear model with two predictors
lm (score1 ~ party x, subset=overlap)
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ideo_two_pred: linear model with two predictors
lm (score1 ~ party x, subset=incs)
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ideo_reparam: linear model with two predictors and reparamaterization
lm (score1 ~ party I(z*(party==0)) I(z*(party==1)), subset=incs)
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ideo_interactions: linear model with two predictors and interaction
lm (score1 ~ party x party:x, subset=incs)
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sesame_one_pred_a: linear model with one predictor
lm (watched ~ encouraged)
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sesame_one_pred_b: linear model with one predictor
lm (y ~ encouraged)
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sesame_one_pred_a: linear model with one predictor
lm (watched ~ encouraged)
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sesame_one_pred_2b: linear model with one predictor
lm (y ~ watched_hat)
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sesame_multi_preds_3a: linear model with three predictors and one factor
lm (watched ~ encouraged pretest as.factor(site) setting)
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sesame_multi_preds_3b: linear model with three predictors and one factor
lm (y ~ watched_hat pretest as.factor(site) setting)
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12.2 Partial Pooling with No Predictors
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radon_intercept: multi-level linear model with varying intercept
lmer (y ~ 1 (1 | county))
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radon_intercept_chr: multi-level linear model with varying intercept using the Choo-Hoffman Parametrization
lmer (y ~ 1 (1 | county))
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radon_intercept: multi-level linear model with varying intercept
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12.3 Partial Pooling with Predictors
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radon_complete_pool: multi-level linear model with complete pooling
lm (y ~ x)
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radon_no_pool: multi-level linear model with no pooling
lmer (y ~ x (1 | county))
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radon_no_pool_chr: multi-level linear model with no pooling using the Choo-Hoffman Parametrization
lmer (y ~ x (1 | county))
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radon_intercept: multi-level linear model with varying intercept
lmer (y ~ 1 (1 | county))
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radon_no_pool: multi-level linear model with no pooling
lmer (y ~ x (1 | county))
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radon_group: multi-level linear model with group level predictor and individual level predictors
lmer (y ~ x u (1 | county))
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radon_group_chr: multi-level linear model with group level predictor and individual level predictors using the Choo-Hoffman Parametrization
lmer (y ~ x u (1 | county))
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radon_no_pool: multi-level linear model with no pooling
lmer (y ~ x (1 | county))
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radon_group: multi-level linear model with group level predictor and individual level predictors
lmer (y ~ x u (1 | county))
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radon_group: multi-level linear model with group level predictor and individual level predictors
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13.1 Varying Intercepts & Slopes
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radon_vary_si: multi-level linear model with group level predictors
lmer (y ~ x (1 x | county))
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radon_vary_si_chr: multi-level linear model with group level predictors using the Choo-Hoffman Parametrization
lmer (y ~ x (1 x | county))
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y_x: linear model with one predictor
lm (y ~ x)
* [radon_inter_vary](https://github.com/stan-dev/example-models/blob/master/ARM/Ch.13/radon_inter_vary.stan): multi-level linear model with group level predictors
lmer (y ~ x u.full x:u.full (1 x | county))
* [radon_inter_vary_chr](https://github.com/stan-dev/example-models/blob/master/ARM/Ch.13/radon_inter_vary_chr.stan): multi-level linear model with group level predictors using the Choo-Hoffman Parametrization
lmer (y ~ x u.full x:u.full (1 x | county))
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earnings_vary_si: multi-level linear model with group level predictors
lmer (y ~ x (1 x | ethn))
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earnings_vary_si_chr: multi-level linear model with group level predictors using the Choo-Hoffman Parametrization
lmer (y ~ x (1 x | ethn))
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pilots: non-nested multi-level linear model with group level predictors
lmer (y ~ 1 (1 | group.id) (1 | scenario.id))
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pilots_chr: non-nested multi-level linear model with group level predictors using the Choo-Hoffman Parametrization
lmer (y ~ 1 (1 | group.id) (1 | scenario.id))
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earnings_latin_square: non-nested multi-level linear model with group level predictors
lmer (y ~ x.centered (1 x.centered | eth) (1 x.centered | age) (1 x.centered | eth:age))
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earnings_latin_square_chr: non-nested multi-level linear model with group level predictors using the Choo-Hoffman Parametrization
lmer (y ~ x.centered (1 x.centered | eth) (1 x.centered | age) (1 x.centered | eth:age))
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14.1 State-Level Opinions From National Polls
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election88: multi-level logistic regression model with group level predictors
lmer (y ~ black female (1 | state), family=binomial(link="logit"))
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election88_full: multi-level logistic regression model with group level predictors
lmer (y ~ black female black:female v.prev.full (1 | age) (1 | edu) (1 | age.edu) (1 | state) (1 | region.full), family=binomial(link="logit"))
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16.3 Fitting and Understanding a Varying Intercept Multilevel Model Using RStan
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16.4 Step by Step through a Stan Model
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radon.1: varying intercept model
lmer (y ~ x (1 | county))
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radon.1: varying intercept model
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16.5 Adding Individual and Group Level Predictors
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radon.pooling: pooled model
lm (y ~ x 1)
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radon.nopooling: varying intercept model
lmer (y ~ x (1 | county))
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radon.2: varying intercept and slope model
lmer (y ~ x (1 x | county))
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radon.2: varying intercept and slope model
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17.1 Varying Intercepts and Varying Slope Models
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17.1_radon_multi_varying_coef: multiply varying coefficients model
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17.1_radon_vary_inter_slope: varying intercept and slope model
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17.1_radon_correlation: varying intercept and slope model with correlation between slopes and intercepts
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17.1_radon_wishart: scaled inverse wishart model
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17.1_radon_wishart2: two varying coefficients model with unmodeled individual-level coefficients
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17.2 Varying Intercept and Slope Models with Group Level Predictors
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17.2_radon_multi_varying_coef: multiply varying coefficients model with group level predictors
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17.2_radon_vary_inter_slope: varying intercept and slope model with group level predictors
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17.2_radon_correlation: varying intercept and slope model with correlation between slopes and intercepts and group level predictors
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17.2_radon_wishart: scaled inverse wishart model with group level predictors
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17.3_flight_simulator: varying intercept model
lmer(y ~ 1 (1 | treatment) (1 | airport))
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17.3_flight_simulator: varying intercept model
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17.4 Multilevel Logistic Regression
- 17.4_multilevel_logistic: multilevel logistic regression model
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17.5 Multilevel Poisson Regression
- 17.5_multilevel_poisson: multilevel poisson regression model
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17.6 Multilevel Ordered Categorical Regression
- 17.6_multilevel_ordered_categorical: multilevel ordered categorical regression model
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17.7 Latent-data Parameterizations of GLM
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17.7_latent_glm: latent-data parameterization of multilevel logistic regression model
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17.7_robit: robit regression model
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18.3 Bayes for Classical and Multilevel Regression
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radon.1: varying intercept model
lmer (y ~ x (1 | county))
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radon.2: varying intercept and slope model
lmer (y ~ x (1 u | county))
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radon.pool: pooled model
lm (y ~ x 1)
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radon.nopooling: varying intercept model
lmer (y ~ x (1 | county))
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weight: centered linear model
lm (y ~ c_height 1)
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weight_censored: censored weight model
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[19.2 General Methods for Reducing Computational Requirements] (https://github.com/stan-dev/example-models/blob/master/ARM/Ch.19/19.2_GeneralMethodsForReducingComputationalRequirements.R)
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19.4 Redundant Parameters & Intentionally Non-identifiable Models
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radon: multi-level liner model with varying intercept
lmer (y ~ 1 (1 | county))
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radon_chr: multi-level liner model with varying intercept using the Choo-Hoffman Parametrization
lmer (y ~ 1 (1 | county))
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radon_redundant: multi-level liner model with varying intercept and redundant parameterization
lmer (y ~ 1 (1 | county))
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radon_redundant_chr: multi-level liner model with varying intercept and redundant parameterization and the Choo-Hoffman Parametrization
lmer (y ~ 1 (1 | county))
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pilots: multi-level linear model with varying intercept and redundant parameterization
lmer (y ~ 1 (1 | treatment) (1 | airport))
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election88: multi-level logistic regression model with redundant parameterization
lmer (y ~ female black female:black (1 | age) (1 | edu) (1 | age_edu) (1 | state), family=binomial(link="logit"))
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pilots_expansion: multi-level linear model with varying intercept and parameter expansion
lmer (y ~ 1 (1 | treatment) (1 | airport))
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election88_expansion: multi-level logistic regression model with parameter expansion
lmer (y ~ female black female:black (1 | age) (1 | edu) (1 | age_edu) (1 | state), family=binomial(link="logit"))
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item_response: multi-level logistic regression model with parameter expansion
lmer (y ~ a:g (a:g | k,j) (g:b | k), family=binomial(link="logit"))
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19.6 Using Redundant Parameters for Modeling
- 8_schools: multi-level linear model with redundant parameterization
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20.5 Multilevel Power Calculation Using Fake-Data Simulation
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hiv: multi-level linear model with varying slope and intercept
lmer (y ~ time (1 time | person)
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hiv_chr: multi-level linear model with varying slope and intercept using the Choo-Hoffman Parametrization
lmer (y ~ time (1 time | person)
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hiv_inter: multi-level linear model with interaction and varying slope and intercept
lmer (y ~ time:treatment (1 time | person)
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hiv_inter_chr: multi-level linear model with interaction and varying slope and intercept using the Choo-Hoffman Parametrization
lmer (y ~ time:treatment (1 time | person)
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21.2 Superpopulation & Finite-Population Variances
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finite_populations: linear model with appropriate calculations for calculating the standard deviation of a finite population
lm (g ~ u_1 u)
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finite_populations: linear model with appropriate calculations for calculating the standard deviation of a finite population
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r_sqr: multi-level linear model with appropriate calculations for R^2
lmer (y ~ 1 (1 x | county))
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r_sqr: multi-level linear model with appropriate calculations for R^2
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21.6 Summarizing the Amount of Partial Pooling
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radon_vary_intercept_a: multi-level linear model with varying intercept set up to calculate pooling factors
lmer (y ~ x (1 | county))
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radon_vary_intercept_b: multi-level linear model with varying intercept set up to calculate pooling factors
lmer (y ~ x (1 | county))
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21.7 Adding a Predictor can Increase Residual Variance
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radon_vary_intercept_floor: multi-level linear model with varying intercept
lmer (y ~ u x (1 | county))
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radon_vary_intercept_floor_chr: multi-level linear model with varying intercept using the Choo-Hoffman Parametrization
lmer (y ~ u x (1 | county))
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radon_vary_intercept_floor2: multi-level linear model with varying intercept
lmer (y ~ u x x_mean (1 | county))
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radon_vary_intercept_floor2_chr: multi-level linear model with varying intercept using the Choo-Hoffman Parametrization
lmer (y ~ u x x_mean (1 | county))
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radon_vary_intercept_nofloor: multi-level linear model with varying intercept
lmer (y ~ u (1 | county))
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radon_vary_intercept_nofloor_chr: multi-level linear model with varying intercept using the Choo-Hoffman Parametrization
lmer (y ~ u (1 | county))
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21.8 Multiple Comparisons and Statistical Significance
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multiple_comparisons: multi-level linear model that serves as a multiple comparisons example
lmer (y ~ theta (theta | j))
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multiple_comparisons: multi-level linear model that serves as a multiple comparisons example
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anova_radon_nopred: multi-level linear model with varying intercept and set up for ANOVA
lmer (y ~ 1 (1 | county))
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anova_radon_nopred_chr: multi-level linear model with varying intercept and set up for ANOVA using the Choo-Hoffman Parametrization
lmer (y ~ 1 (1 | county))
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23.1 Multilevel Aspects of Data Collection
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electric_1a: multi-level linear model with varying intercept and slope
lmer (y ~ 1 (1 | pair) (treatment | grade))
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electric_1a_chr: multi-level linear model with varying intercept and slope using the Choo-Hoffman Parametrization
lmer (y ~ 1 (1 | pair) (treatment | grade))
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electric_1b: multi-level linear model with varying intercept and slope
lmer (y ~ treatment pre_test (1 | pair))
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electric_1b_chr: multi-level linear model with varying intercept and slope using the Choo-Hoffman Parametrization
lmer (y ~ treatment pre_test (1 | pair))
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electric_1c: multi-level linear model with group level factors
lmer (y ~ 1 (1 | pair) (treatment | grade) (pre_test | grade))
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electric_1c_chr: multi-level linear model with group level factors using the Choo-Hoffman Parametrization
lmer (y ~ 1 (1 | pair) (treatment | grade) (pre_test | grade))
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electric_one_pred: linear model with one predictor
lm (post_test ~ treatment)
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electric_multi_preds: linear model with two predictors
lm (post_test ~ treatment pre_test)
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23.3 Treatments Applied at Different Levels
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electric: multi-level linear model with varying intercept
lmer (y ~ treatment (1 | pair))
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electric_chr: multi-level linear model with varying intercept using the Choo-Hoffman Parametrization
lmer (y ~ treatment (1 | pair))
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23.4 Instrumental Variables & Multilevel Modeling
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sesame_street1: multi-level linear model using multivariate normal
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sesame_street2: multi-level linear model using multivariate normal
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24.2 Behavioral Learning Experiments
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dogs: multi-level logit regression model
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dogs_log: multi-level model using binomial distribution
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dogs_check: multi-level model using binomial distribution
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25.4 Random Imputation of a Single Variable
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earnings: linear model with ten predictors
lm (earnings ~ male over65 white immig educ_r workmos workhrs_top any_ssi any_welfare any_charity)
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earnings_pt1: logistic regression model with eight predictors
glm (earnings ~ male over65 white immig educ_r any_ssi any_welfare any_charity, family=binomial(link="logit"))
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earnings_pt2: linear model with eight predictors
lm (earnings ~ male over65 white immig educ_r any_ssi any_welfare any_charity)
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25.5 Imputation of Several Missing variables
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earnings2: mlinear model with eleven predictors
lm (earnings ~ interest male over65 white immig educ_r workmos workhrs_top any_ssi any_welfare any_charity)
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earnings2: mlinear model with eleven predictors