Читать книгу Handbook of Regression Analysis With Applications in R - Samprit Chatterjee - Страница 4

1 Chapter 1FIGURE 1.1: The simple linear regression model. The solid line corresponds to ...FIGURE 1.2: Least squares estimation for the simple linear regression model, u...FIGURE 1.3: Least squares estimation for the multiple linear regression model ...FIGURE 1.4: Scatter plots of sale price versus each predictor for the home pri...FIGURE 1.5: Residual plots for the home price data. (a) Plot of residuals vers...FIGURE 1.6: Scatter plots of residuals versus each predictor for the home pric...

2 Chapter 2FIGURE 2.1: Least squares estimation under collinearity. The only change in th...FIGURE 2.2: Residual plots for the home price data using the best three‐predic...FIGURE 2.3: Plot of observed versus predicted house sale price values of valid...FIGURE 2.4: Plots for the 2004 election data. (a) Plot of percentage change in...FIGURE 2.5: Regression lines for election data separated by whether the county...FIGURE 2.6: Plots for the 2004 election data. (a) Plot of percentage change in...FIGURE 2.7: Residual plots for the 2004 election data.

3 Chapter 3FIGURE 3.1: Scatter plot of data with an unusual observation (A), with the fit...FIGURE 3.2: Scatter plots of data with an unusual observation, with the fitted...FIGURE 3.3: Index plots of diagnostics for the three‐predictor regression fit ...FIGURE 3.4: Plot of Cook's distance versus diagonal element of the hat matrix ...FIGURE 3.5: Index plots of diagnostics for the two‐predictor regression fit fo...

4 Chapter 4FIGURE 4.1: Scatter plots of total domestic gross versus opening weekend gross...FIGURE 4.2: Scatter plots of logged total domestic gross versus logged opening...FIGURE 4.3: Index plots of diagnostics for the regression fit on the three‐pre...FIGURE 4.4: Index plots of diagnostics for the three‐predictor regression fit ...FIGURE 4.5: Residual plots for the three‐predictor regression fit after removi...

5 Chapter 5FIGURE 5.1: Inefficiency of OLS estimator compared to minimum variance estimat...FIGURE 5.2: Percentage bias of the estimated variance of the OLS estimator of FIGURE 5.3: Time series plot of quarterly U.S. e‐commerce retail sales.FIGURE 5.4: Scatter plot of e‐commerce retail sales versus total retail sales.FIGURE 5.5: Residual plots for the e‐commerce regression fit based on total re...FIGURE 5.6: Side‐by‐side boxplots of the standardized residuals for the e‐comm...FIGURE 5.7: Residual plots for the e‐commerce regression fit based on total re...FIGURE 5.8: Residual plots for the e‐commerce regression fit based on total re...FIGURE 5.9: Scatter plots of daily S&P 500 (large‐cap) index values from 2006 ...FIGURE 5.10: Scatter plots of logged daily S&P 500 (large‐cap) index values ve...FIGURE 5.11: Residual plots for logged large‐cap index regression fit based on...FIGURE 5.12: Residual plots for the logged large‐cap index regression fit base...FIGURE 5.13: Residual plots for the large‐cap log return regression fit based ...FIGURE 5.14: Scatter plot of the time interval to next eruption versus the dur...FIGURE 5.15: Residual plots for the Old Faithful Geyser time interval until th...FIGURE 5.16: Residual plots for the Old Faithful Geyser time interval until th...

6 Chapter 6FIGURE 6.1: Interaction plots based on expected responses in situations withou...FIGURE 6.2: Side‐by‐side boxplots of logged DVD sales separated by MPAA rating...FIGURE 6.3: Side‐by‐side boxplots of standardized residuals from the two‐way O...FIGURE 6.4: Side‐by‐side boxplots of standardized residuals from the two‐way W...FIGURE 6.5: Interaction plot for logged DVD sales separated by MPAA rating and...FIGURE 6.6: Residual and diagnostic plots for the WLS‐based ANOVA fit of logge...

7 Chapter 7FIGURE 7.1: Plots for the 2009 international movie grosses data. (a) Plot of l...FIGURE 7.2: ANCOVA fits for the 2009 international movie grosses data. Solid l...FIGURE 7.3: Residual plots for the varying slopes ANCOVA model for the 2009 in...

8 Chapter 8FIGURE 8.1: S‐shaped curves for probabilities.FIGURE 8.2: Two plots of hypothetical observed proportions of success versus a...FIGURE 8.3: Plots for the Whickham smoking and mortality data. (a) Empirical s...FIGURE 8.4: Side‐by‐side boxplots for the bankruptcy data.FIGURE 8.5: Index plot of standardized (Pearson) residuals for the logistic re...FIGURE 8.6: Diagnostic plots for the three‐predictor model fit to the bankrupt...

9 Chapter 9FIGURE 9.1: Graphical representation of the latent variable model for regressi...FIGURE 9.2: Side‐by‐side boxplots for the bond rating data.

10 Chapter 10FIGURE 10.1: Scatter plots for the Florida shark attack data.FIGURE 10.2: Plot of attack rate versus year for the Florida shark attack data...FIGURE 10.3: Diagnostic plots for the Poisson regression model for attack rate...FIGURE 10.4: Diagnostic plots for the Poisson regression model for attack rate...FIGURE 10.5: Diagnostic plots for the negative binomial regression model for a...FIGURE 10.6: Diagnostic plots for the Poisson regression model for fatality ra...FIGURE 10.7: Diagnostic plots for WLS model for 2009 international grosses dat...

11 Chapter 11FIGURE 11.1: Density functions of logged survival times. (a) Normal (solid lin...FIGURE 11.2: Hazard functions of survival times. (a) Lognormal (solid line) an...FIGURE 11.3: Kaplan‐Meier curves of post‐Tony Awards performances of Broadway ...FIGURE 11.4: Logged cumulative hazards plots of post‐Tony Awards performances ...FIGURE 11.5: Scatter plots of logged number of post‐Tony Awards performances o...FIGURE 11.6: Normal plot of the deviance residuals from a Weibull regression f...FIGURE 11.7: Normal plot of the deviance residuals from a Cox regression fit o...FIGURE 11.8: Scatter plots of scaled Schoenfeld residuals for a Cox model fit ...FIGURE 11.9: Kaplan‐Meier plots of the number of years after 1959 of the first...FIGURE 11.10: Side‐by‐side boxplots of country‐year characteristics separated ...

12 Chapter 12FIGURE 12.1: Scatter plots and model fits for the puromycin enzyme velocity da...FIGURE 12.2: Residual plots for the puromycin enzyme velocity data. (a) Plot o...FIGURE 12.3: Scatter plots and model fits for the puromycin enzyme velocity da...

13 Chapter 13FIGURE 13.1: Line plots of tumor size versus number of days after grafting for...FIGURE 13.2: Line plots of logged tumor size versus number of days after graft...FIGURE 13.3: Line plots of residuals from the linear mixed model of logged tum...FIGURE 13.4: Estimated logged tumor size versus number of days after grafting ...FIGURE 13.5: Observed annual per capita unprovoked shark attack rates separate...FIGURE 13.6: Observed annual per capita unprovoked shark attack rates versus (...FIGURE 13.7: Pearson residuals separated by state for Poisson and negative bin...

14 Chapter 14FIGURE 14.1: Lasso slope estimates for the Levittown house data as a function ...

15 Chapter 15FIGURE 15.1: Two samples from the same underlying smooth relationship with thr...FIGURE 15.2: Linear and quadratic least squares fits using the nearest obser...FIGURE 15.3: Scatter plots and side‐by‐side boxplots for German used cars data...FIGURE 15.4: Estimated smooth terms of semiparametric model for German used ca...FIGURE 15.5: Side‐by‐side boxplots of year of release and logged budget in 201...FIGURE 15.6: Plots of standardized Pearson residuals from logistic regression ...FIGURE 15.7: Estimated smooth terms of generalized additive model for Bechdel ...FIGURE 15.8: Trellis display of estimated home prices from the model including...

16 Chapter 16FIGURE 16.1: Scatter plots of simulated data.FIGURE 16.2: Scatter plot of predictors of simulated data, with the area of th...FIGURE 16.3: Equivalent tree representations of the partitioning in Figure 16....FIGURE 16.4: Unpruned and pruned CART trees for Levittown home price data. Pru...FIGURE 16.5: Conditional inference tree for Levittown home price data.FIGURE 16.6: Pruned CART tree and conditional inference tree for frequency of ...FIGURE 16.7: Conditional inference tree for perception of rudeness of reclinin...FIGURE 16.8: Conditional inference RE‐EM tree for wages data.FIGURE 16.9: Pruned CART tree and conditional inference tree for Broadway show...FIGURE 16.10: Conditional inference tree for time to first female head of gove...