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The material of multivariate analysis |
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1 | (16) |
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Examples of multivariate data |
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1 | (11) |
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Preview of multivariate methods |
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12 | (2) |
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The multivariate normal distribution |
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14 | (1) |
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15 | (1) |
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15 | (1) |
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16 | (1) |
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16 | (1) |
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17 | (10) |
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The need for matrix algebra |
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17 | (1) |
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17 | (2) |
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19 | (2) |
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21 | (1) |
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22 | (1) |
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Eigenvalues and eigenvectors |
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22 | (1) |
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Vectors of means and covariance matrices |
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23 | (2) |
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25 | (1) |
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25 | (2) |
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26 | (1) |
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Displaying multivariate data |
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27 | (8) |
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The problem of displaying many variables in two dimensions |
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27 | (1) |
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27 | (2) |
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29 | (1) |
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The representation of individual data points |
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30 | (2) |
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32 | (1) |
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Discussion and further reading |
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33 | (1) |
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34 | (1) |
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34 | (1) |
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Tests of significance with multivariate data |
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35 | (24) |
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Simultaneous tests on several variables |
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35 | (1) |
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Comparison of mean values for two samples: the single variable case |
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35 | (2) |
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Comparison of mean values for two samples: the multivariate case |
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37 | (4) |
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Multivariate versus univariate tests |
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41 | (1) |
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Comparison of variation for two samples: the single-variable case |
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42 | (1) |
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Comparison of variation for two samples: the multivariate case |
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42 | (4) |
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Comparison of means for several samples |
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46 | (3) |
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Comparison of variation for several samples |
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49 | (5) |
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54 | (1) |
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54 | (5) |
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55 | (2) |
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57 | (2) |
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Measuring and testing multivariate distances |
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59 | (16) |
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59 | (1) |
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Distances between individual observations |
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59 | (3) |
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Distances between populations and samples |
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62 | (5) |
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Distances based on proportions |
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67 | (1) |
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68 | (1) |
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The Mantel randomization test |
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69 | (3) |
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72 | (1) |
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Discussion and further reading |
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72 | (1) |
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73 | (2) |
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74 | (1) |
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74 | (1) |
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Principal components analysis |
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75 | (16) |
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Definition of principal components |
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75 | (1) |
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Procedure for a principal components analysis |
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76 | (8) |
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84 | (1) |
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85 | (1) |
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85 | (6) |
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87 | (3) |
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90 | (1) |
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91 | (14) |
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The factor analysis model |
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91 | (2) |
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Procedure for a factor analysis |
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93 | (2) |
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Principal components factor analysis |
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95 | (2) |
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Using a factor analysis program to do principal components analysis |
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97 | (3) |
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100 | (1) |
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The value of factor analysis |
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101 | (1) |
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101 | (1) |
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Discussion and further reading |
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102 | (1) |
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102 | (3) |
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103 | (1) |
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103 | (2) |
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Discriminant function analysis |
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105 | (20) |
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The problem of separating groups |
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105 | (1) |
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Discrimination using Mahalanobis distances |
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105 | (2) |
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Canonical discriminant functions |
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107 | (1) |
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108 | (1) |
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109 | (5) |
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Allowing for prior probabilities of group membership |
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114 | (1) |
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Stepwise discriminant function analysis |
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114 | (2) |
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Jackknife classification of individuals |
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116 | (1) |
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Assigning of ungrouped individuals to groups |
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116 | (1) |
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117 | (5) |
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122 | (1) |
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Discussion and further reading |
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122 | (1) |
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123 | (2) |
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124 | (1) |
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124 | (1) |
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125 | (18) |
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125 | (1) |
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Types of cluster analysis |
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125 | (2) |
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127 | (2) |
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Problems of cluster analysis |
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129 | (1) |
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129 | (1) |
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Principal components analysis with cluster analysis |
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130 | (4) |
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134 | (1) |
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Discussion and further reading |
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135 | (1) |
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136 | (7) |
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137 | (4) |
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141 | (2) |
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Canonical correlation analysis |
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143 | (20) |
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Generalizing a multiple regression analysis |
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143 | (2) |
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Procedure for a canonical correlation analysis |
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145 | (1) |
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146 | (2) |
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Interpreting canonical variates |
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148 | (10) |
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158 | (1) |
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158 | (1) |
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159 | (4) |
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159 | (2) |
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161 | (2) |
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163 | (14) |
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Constructing a map from a distance matrix |
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163 | (2) |
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Procedure for multidimensional scaling |
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165 | (7) |
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172 | (2) |
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174 | (1) |
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174 | (3) |
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175 | (1) |
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175 | (2) |
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177 | (24) |
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177 | (1) |
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Principal components analysis |
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178 | (3) |
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Principal coordinates analysis |
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181 | (8) |
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189 | (2) |
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191 | (5) |
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Comparison of ordination methods |
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196 | (1) |
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197 | (1) |
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197 | (1) |
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198 | (3) |
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198 | (1) |
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198 | (3) |
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201 | (4) |
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201 | (1) |
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201 | (1) |
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202 | (3) |
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203 | (2) |
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Appendix Computer packages for multivariate analyses |
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205 | (4) |
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207 | (2) |
| Author Index |
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209 | (2) |
| Subject Index |
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211 | |
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