Bhisham C. Gupta - Statistics and Probability with Applications for Engineers and Scientists Using MINITAB, R and JMP

6 Chapter 6Figure 6.2.1 Graphical representation of the p.f. in Example 6.2.1.Figure 6.2.2 Graphical representation of the p.d.f. in Example 6.2.6.Figure 6.2.3 Graphical representation of the joint p.d.f. in Example 6.2.8.Figure 6.2.4 Graphical representation of p.d.f. of bivariate normal.

7 Chapter 7Figure 7.2.1 Exponential probability distribution of X with mean 1.Figure 7.2.2 Normal probability plots of for selected sample sizes and 100...Figure 7.3.1 Graphs of chi‐square density functions for different degrees of f...Figure 7.3.2 Probability density function of the t ‐distribution with degrees...Figure 7.3.3 Probability density function of the ‐distribution showing 0.025 ...Figure 7.3.4 Probability density functions of for various combinations of th...

8 Chapter 8Figure 8.2.1 Probability distributions of and .Figure 8.3.1 (a) Statistical and (b) practical interpretation of a confidence ...Figure 8.5.1 Chi‐square distribution for various degrees of freedom.Figure 8.10.1 An etched silicon wafer.

9 Chapter 9Figure 9.2.1 Critical points dividing the sample space of in two regions, th...Figure 9.3.1 The critical region for the left‐sided test with .Figure 9.3.2 Graphical description of the constituents of Example 9.3.1.Figure 9.3.3 Critical region for the right‐sided test with .Figure 9.3.4 Critical region for the two‐sided test with .Figure 9.3.5 Power curves for the test in Example 9.3.2.Figure 9.12.1 Decision regions for the sequential test of Example 9.12.1 showi...Figure 9.12.2 Graph of the two‐sided sequential test of hypothesis for .Figure 9.13.1 SOIC package.

10 Chapter 10Figure 10.1.1 Plots of a typical (a) density function, (b) distribution functi...Figure 10.1.2 Graphs of four different hazard rate functions.Figure 10.1.3 Graphs of the hazard function for the gamma distribution at vari...Figure 10.1.4 Hazard rate function for a lognormal distribution with parameter...Figure 10.4.1 Graphical estimation of Weibull parameters.Figure 10.4.2 Maximum Likelihood estimates and 95% CI for lifetime using the W...Figure 10.4.3 Least‐squares estimates and 95% CI for lifetime using the Weibul...

11 Chapter 11Figure 11.4.1 (a) Graphical format of the above data with projected lines (low...Figure 11.4.2 Iris versicolor.Figure 11.4.3 Various graphical visualizations for Iris data.Figure 11.4.4 3D scatter plot for Iris variables “Sepal width”, “Sepal length”...Figure 11.4.5 Side‐by‐side boxplots for attribute petal length for three flowe...Figure 11.4.6 Aesthetic scatter plot for attributes “Sepal Width,” “Sepal Leng...Figure 11.5.1 Boxplot of salary data. Note that the “ ” represents an outlier ...Figure 11.6.1 O‐ring failure challenger data with its logistic regression base...Figure 11.6.2 Classification error probability for various cutoff values.Figure 11.6.3 Receiver operating characteristic (ROC) curve for Example 11.6.2...Figure 11.7.1 A decision tree structure.Figure 11.7.2 (a) Recursive partition of the ‐space. (b) Corresponding binary...Figure 11.7.3 Graph of variable C versus Y for data in Table 11.7.1.Figure 11.7.4 Initial tree branches based on Gini index.Figure 11.7.5 Classification tree structure for the Iris data. The vector ar...Figure 11.7.6 Regression tree structure for the first 132 observations selecte...Figure 11.7.7 Observed and predicted “time to progression” values for the test...

12 Chapter 12Figure 12.2.1 Network graph for distance matrix in Table 12.2.2.Figure 12.3.1 Single linkage distance between two clusters and .Figure 12.3.2 Dendrogram for US arrests data for six states based on the singl...Figure 12.3.3 MINITAB dendrogram plot for US crime data for six states based o...Figure 12.3.4 Complete linkage distance between two clusters and .Figure 12.3.5 Dendrogram for the US arrests data for six states based on the c...Figure 12.3.6 Average linkage distance between two clusters and .Figure 12.3.7 A generated face structure with six different clusters and their...Figure 12.3.8 (a) A generated face structure with six different clusters (b) W...Figure 12.4.1 R output plot of seven two‐dimensional objects. The cluster cent...Figure 12.4.2 MINITAB cluster output plot of seven two‐dimensional objects.Figure 12.5.1 DBSCAN process for two‐dimensional objects.Figure 12.5.2 DBSCAN‐based clustering results for face clustering data.Figure 12.6.1 BIC values for all five covariance structures in Table 12.6.1 fo...Figure 12.6.2 Estimated clusters based on the covariance structures (a) “VEE” ...

13 Chapter 14Figure 14.4.1 Chart for determining runs above and below the median.

14 Chapter 15Figure 15.2.1 Experimental verification of Charles's law.Figure 15.2.2 Distributions of Y at X having values x and have exactly the s...Figure 15.2.3 Scatter plot of n pairs of measurements , on hardness of certai...Figure 15.2.4 Scatter plot for the data in Example 15.2.2.Figure 15.4.3 MINITAB printout of 95% confidence and prediction bands of regre...Figure 15.4.4 R output of 95% confidence and prediction bands of regression li...Figure 15.5.1 Scatter plot for the data in Table 15.5.1.Figure 15.5.3 MINITAB printout of the confidence and prediction bands of regre...Figure 15.7.1 MINITAB plots of the residuals for the data in Example 15.5.2 on...Figure 15.7.2 Some other typical plots in residual analysis, showing departure...Figure 15.7.3 MINITAB scatter plot for the data in Example 15.7.1.Figure 15.7.5 MINITAB residual plots for the data in Example 15.7.1.Figure 15.7.7 MINITAB plots for residual plots for yield and box plot of resid...Figure 15.7.8Figure 15.7.8 MINITAB plot for fitted quadratic: yield versus pho...Figure 15.8.2 MINITAB residual plots: regression analysis of yield versus cata...Figure 15.8.3 Fitted regression lines for (a) yield versus catalyst and (b) ln...Figure 15.8.5 MINITAB residual plots for the regression analysis of ln(yield) ...Figure 15.8.6 R residual plots for the regression analysis of ln(Yield) versus...