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Unformatted text preview: ervations (or Sum Wgts) 0.677098 0.663059 0.215751 1.126 25 The error in the difference of two slopes is normally distributed.
Source Model Error C Total DF 1 23 24 Sum o f S quares 2.2449876 1.0706124 3.3156000 Mean S quare 2.24499 0.04655 F R atio 48.2291 Prob>F <.0001 Analysis of V ariance Parameter E stimates Term Intercept Log 10(Area of "island") Estimate 0.245375 0.2755397 Std E rror 0.133946 0.039676 t R atio 1.83 6.94 Prob>t 0.0799 <.0001 Linear F it T ype o f i sland=M Summary o f F it Log10(Number of species) = 1.59531 + 0.09744 Log 10(Area of "island") t= ( b1 ! b2 ) ! ( "1 ! "2 )
Analysis of V ariance
Source Model Error C Total DF 1 4 5 Sum o f S quares 0.23898111 0.00976889 0.24875000 RSquare RSquare Adj Root Mean Square Error Mean of Response Observations (or Sum Wgts) 0.960728 0.95091 0.049419 1.925 6 ( MSerror ) p = ( SSerror )1 + ( SSerror ) 2 ( DFerror )1 + ( DFerror ) 2 ( MSerror ) p
+ Parameter E stimates Term Intercept Log 10(Area of "island") SEb1 !b2
Estimate 1.5953149 0.0974439 Std E rror 0.038959 0.009851 Mean S quare 0.238981 0.002442 F R atio 97.8540 Prob>F 0.0006 t R atio 40.95 9.89 Prob>t <.0001 0.0006 SEb1!b 2 = df = n1  2 +n2  2 # & 2 % "( X ! X ) ( % ( $ '1 # & 2 % "( X ! X ) ( % ( $ '2 ( MSerror ) p Analysis of covariance (ANCOVA) Compares many slopes H 0: =
2= 3= 4= 5… Logistic regression
Tests for relationship between a numerical variable (as the explanatory variable) and a binary variable (as the response). e.g.: Does the dose of a toxin affect probability of survival? Does the length of a peacock's tail affect its probability of getting a mate? 1 HA: At least one of the slopes is different from another....
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This note was uploaded on 04/16/2010 for the course MATHEMATIC 1231 taught by Professor Driscoll during the Spring '10 term at Clayton College of Natural Health.
 Spring '10
 Driscoll
 Statistics, Correlation, Linear Regression, Variance

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