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1 Introduction to Statistics and Biostatistics |
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1 | (8) |
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1 | (1) |
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1.2 Use and Scope of Statistics |
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1 | (1) |
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1.3 Subject Matter of Statistics |
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2 | (1) |
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1.4 Steps in Statistical Procedure |
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2 | (5) |
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1.5 Limitation of Statistics |
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7 | (2) |
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2 Data-Information and Its Presentation |
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9 | (26) |
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9 | (3) |
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12 | (1) |
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2.3 Variable and Constant |
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12 | (1) |
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13 | (3) |
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2.5 Classification/Grouping |
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16 | (4) |
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2.5.1 Method of Classification |
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18 | (1) |
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2.5.2 Cumulative Frequency |
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18 | (1) |
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18 | (1) |
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18 | (2) |
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20 | (15) |
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21 | (1) |
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22 | (2) |
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24 | (11) |
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35 | (42) |
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3.1 Measures of Central Tendency |
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36 | (15) |
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37 | (2) |
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39 | (3) |
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42 | (1) |
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3.1.4 Use of Different Types of Means |
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43 | (1) |
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44 | (2) |
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3.1.6 Partition Values (Percentiles, Deciles, and Quartiles) |
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46 | (2) |
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48 | (1) |
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49 | (1) |
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3.1.9 Selection of Proper Measure of Central Tendency |
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50 | (1) |
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3.2 Dispersion and Its Measures |
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51 | (19) |
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3.2.1 Absolute Measures of Dispersion |
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51 | (11) |
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62 | (7) |
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3.2.3 Relative Measures of Dispersion |
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69 | (1) |
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3.3 Skewness and Kurtosis |
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70 | (7) |
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71 | (2) |
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73 | (4) |
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4 Probability Theory and Its Application |
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77 | (36) |
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77 | (1) |
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78 | (1) |
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79 | (1) |
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80 | (1) |
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81 | (4) |
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4.5.1 Important Results in Probability |
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82 | (3) |
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4.6 Random Variables and Their Probability Distributions |
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85 | (1) |
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4.7 Mean, Variance, and Moments of Random Variable |
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86 | (3) |
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4.8 Moment-Generating Function |
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89 | (2) |
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4.9 Theoretical Probability Distributions |
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91 | (15) |
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4.9.1 Binomial Distribution |
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91 | (5) |
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4.9.2 Poisson Distribution |
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96 | (4) |
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4.9.3 Normal Distribution |
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100 | (6) |
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4.10 Central Limit Theorem |
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106 | (1) |
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4.11 Sampling Distribution |
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107 | (6) |
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107 | (1) |
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108 | (1) |
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109 | (1) |
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4.11.4 Sampling Distribution of Sample Mean and Sample Mean Square |
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110 | (1) |
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4.11.5 Fisher's t-Distribution and Student's t-Distribution |
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111 | (2) |
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113 | (20) |
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113 | (1) |
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113 | (2) |
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5.3 Parameter and Statistic |
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115 | (1) |
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115 | (1) |
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5.5 Subject Matter of Sampling |
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115 | (1) |
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5.6 Errors in Sample Survey |
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116 | (1) |
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116 | (2) |
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5.8 Selection of Sample (Sampling Technique) |
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118 | (1) |
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5.9 Different Sampling Techniques |
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119 | (14) |
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5.9.1 Probability Sampling |
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119 | (11) |
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5.9.2 Non-probability Sampling |
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130 | (3) |
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133 | (62) |
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133 | (7) |
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134 | (5) |
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6.1.2 Testing of Hypothesis |
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139 | (1) |
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6.2 Testing of Hypothesis |
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140 | (36) |
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141 | (35) |
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176 | (19) |
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176 | (6) |
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182 | (13) |
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195 | (28) |
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195 | (1) |
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7.2 Correlation Coefficient |
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196 | (1) |
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197 | (6) |
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7.4 Significance of Correlation Coefficients |
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203 | (1) |
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7.5 Correlation Coefficient of Bivariate Frequency Distribution |
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204 | (2) |
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206 | (1) |
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207 | (2) |
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209 | (2) |
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7.9 Properties of Correlation Ratio |
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211 | (1) |
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7.10 Coefficient of Concurrent Deviation |
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211 | (1) |
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7.11 Calculation of Correlation Coefficient Using MS Excel, SPSS, and SAS |
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212 | (11) |
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223 | (54) |
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223 | (1) |
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8.2 Explanation of the Regression Equation |
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224 | (1) |
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8.3 Assumption of Linear Regression Model |
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224 | (1) |
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8.4 Simple Linear Regression Analysis |
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225 | (5) |
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8.5 Properties of Regression Coefficient |
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230 | (4) |
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8.5.1 Regression Coefficient |
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230 | (1) |
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8.5.2 The Sign of the Regression Coefficient |
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231 | (1) |
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8.5.3 Relation Between Correlation Coefficient and the Regression Coefficients |
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231 | (1) |
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8.5.4 Relation Between Regression Coefficients |
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231 | (1) |
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8.5.5 AM and GM of Regression Coefficients |
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231 | (1) |
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8.5.6 Range of Regression Coefficient |
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231 | (1) |
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8.5.7 Effect of Change of Origin and Scale on Regression Coefficient |
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231 | (1) |
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8.5.8 Angle Between Two Lines of Regression |
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232 | (1) |
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8.5.9 Regression with Zero Intercept |
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232 | (2) |
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8.6 Identification of the Regression Equations |
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234 | (1) |
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8.7 Expectations and Variances of the Regression Parameters |
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235 | (1) |
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8.8 Test of Significance for the Regression Coefficient |
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236 | (1) |
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8.9 Multiple Linear Regression Analysis |
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236 | (1) |
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8.10 Multiple Linear Regression Equation Taking Three Variables |
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237 | (1) |
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8.11 Estimation of the Parameters of Linear Regression Model Using OLS Technique in the Matrix Form |
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238 | (2) |
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8.12 Estimation of Regression Coefficients from Correlation Coefficients |
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240 | (4) |
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8.13 Multiple Correlations |
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244 | (1) |
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8.14 The Coefficient of Determination (R2) |
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245 | (3) |
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8.14.1 Interpretation of R2 |
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246 | (1) |
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247 | (1) |
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248 | (2) |
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8.16 Some Other Measures of Association |
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250 | (1) |
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8.16.1 Biserial Correlation |
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250 | (1) |
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8.16.2 Tetrachoric Correlation |
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251 | (1) |
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251 | (1) |
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8.17 Worked-Out Example Using the Usual Method of Calculation and with the Help of the Software Packages |
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251 | (26) |
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8.17.1 Calculation of All Possible Correlation Coefficients |
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252 | (7) |
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8.17.2 Calculation of Partial Correlation Coefficients |
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259 | (4) |
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8.17.3 Estimation of Simple Linear Regression |
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263 | (6) |
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8.17.4 Estimation of Multiple Linear Regression Equation |
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269 | (8) |
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277 | (42) |
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277 | (1) |
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9.2 Linear Analysis of Variance Model |
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278 | (1) |
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9.3 Assumptions in Analysis Variance |
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278 | (1) |
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9.4 One-Way Classified Data |
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279 | (7) |
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9.4.1 Analysis of One-Way Classified Data Using MS Excel |
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284 | (2) |
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9.5 Two-Way Classified Data |
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286 | (10) |
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9.5.1 Two-Way Classified Data with One Observation per Cell |
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288 | (5) |
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9.5.2 Analysis of Two-Way Classified Data with One Observation per Cell Using MS Excel |
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293 | (3) |
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9.6 Two-Way Classified Data with More Than One Observation per Cell |
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296 | (8) |
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9.6.1 Analysis of Two-Way Classified Data with More than One Observation per Cell Using MS Excel |
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301 | (3) |
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9.7 Violation of Assumptions in ANOVA |
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304 | (7) |
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9.7.1 Logarithmic Transformation |
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305 | (2) |
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9.7.2 Square Root Transformation |
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307 | (2) |
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9.7.3 Angular Transformation |
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309 | (2) |
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9.8 Effect of Change in Origin and Scale on Analysis of Variance |
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311 | (8) |
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10 Basic Experimental Designs |
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319 | (46) |
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319 | (3) |
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10.2 Principles of Design |
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322 | (1) |
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323 | (1) |
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10.4 Optimum Size and Shape of Experimental Units |
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324 | (1) |
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325 | (1) |
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10.6 Steps in Designing of Experiments |
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325 | (1) |
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10.7 Completely Randomized Design (CRD) |
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326 | (12) |
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10.7.1 Randomization and Layout |
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326 | (2) |
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10.7.2 Statistical Model and Analysis |
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328 | (1) |
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10.7.3 Merits and Demerits of CRD |
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329 | (9) |
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10.8 Randomized Block Design/Randomized Complete Block Design (RBD/RCBD) |
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338 | (15) |
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10.8.1 Experimental Layout |
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338 | (2) |
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10.8.2 Statistical Model and Analysis |
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340 | (2) |
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10.8.3 Merits and Demerits of RBD |
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342 | (11) |
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10.9 Latin Square Design (LSD) |
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353 | (5) |
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10.9.1 Randomization and Layout |
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354 | (1) |
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10.9.2 Statistical Model and Analysis |
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354 | (2) |
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10.9.3 Merits and Demerits of Latin Square Design |
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356 | (2) |
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10.10 Missing Plot Technique |
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358 | (7) |
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10.10.1 Missing Plot Technique in CRD |
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359 | (1) |
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10.10.2 Missing Plot Technique in RBD |
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359 | (2) |
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10.10.3 Missing Plot Technique in LSD |
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361 | (4) |
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365 | (102) |
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365 | (2) |
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11.1.1 Factor and Its Levels |
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366 | (1) |
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11.1.2 Type of Factorial Experiment |
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366 | (1) |
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11.1.3 Effects and Notations in Factorial Experiment |
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366 | (1) |
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11.1.4 Merits of Factorial Experiment |
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367 | (1) |
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11.1.5 Demerits of Factorial Experiment |
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367 | (1) |
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11.2 Two-Factor Factorial Experiments |
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367 | (31) |
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11.2.1 22 Factorial Experiment |
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367 | (22) |
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11.2.2 Two-Factor Asymmetrical (m x n, m ≠ n) Factorial Experiment |
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389 | (9) |
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11.3 Three-Factor Factorial Experiments |
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398 | (41) |
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11.3.1 23 Factorial Experiment |
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398 | (24) |
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11.3.2 m x n x p Asymmetrical Factorial Experiment |
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422 | (17) |
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11.4 Incomplete Block Design |
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439 | (13) |
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440 | (12) |
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452 | (15) |
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12 Special Experiments and Designs |
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467 | (40) |
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467 | (1) |
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12.2 Comparison of Factorial Effects vs. Single Control Treatment |
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468 | (4) |
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12.3 Augmented Designs for the Evaluation of Plant Germplasms |
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472 | (10) |
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12.3.1 Augmented Completely Randomized Design |
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472 | (3) |
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12.3.2 Augmented Randomized Block Design |
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475 | (7) |
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482 | (18) |
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12.5 Analysis of Experimental Data Measured Over Time |
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500 | (1) |
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12.5.1 Observations Taken Over Time in RBD |
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500 | (1) |
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12.5.2 Observations Taken Over Time in Two-Factor RBD |
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500 | (1) |
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12.5.3 Observations Taken Over Time in Split Plot Design |
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501 | (1) |
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12.6 Experiments at Farmers' Field |
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501 | (6) |
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12.6.1 Major Considerations During Experimentations at Farmers' Fields |
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502 | (5) |
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13 Use-Misuse of Statistical Packages |
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507 | (14) |
References |
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521 | (8) |
Index |
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529 | |