Regression modelのソースを表示

{{Epi Stat}}

==Classification of Regression models==

{|class="wikitable"
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!colspan="2" rowspan="2" style="width:150px"|
!colspan="2"|Independent variable (exposure)
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!style="width:300px"|Monovariable (single variable)
!style="width:300px"|Multivariable (multiple variables)
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!rowspan="5"|Dependent<br>variable<br>(outcome)
!Continuous
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*'''Simple linear regression'''
::<math>Y = a + bX</math>

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*'''Multiple&dagger; linear regression'''
::<math>Y = a + b_1X_1 + b_2X_2 + b_3X_3 + \cdots</math>

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!Binary
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*'''Simple binary logistic regression'''
::<math>\log Y = a + bX</math><br>where <math>Y</math> is odds of outcome

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*'''Multiple&dagger; binary logistic regression'''
::<math>\log Y = a + b_1X_1 + b_2X_2 + b_3X_3 + \cdots</math><br>where <math>Y</math> is odds of outcome

|-
!Multinominal<br>&ge; 3
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*'''Simple multinominal logistic regression'''

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*'''Multiple&dagger; multinominal logistic regression'''

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!Ordinal
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*'''Simple ordinal logistic regression'''

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*'''Multiple&dagger; ordinal logistic regression'''

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!Survival time
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*'''Multiple proportional hazard regression'''<br>= '''Cox hazard regression'''
::<math>\log h(T) = \log h_0(T) + b_1X_1 + b_2X_2 + b_3X_3 + \cdots</math><br>where <math>h(T)</math> is the hazard at time <math>T</math> and <math>h_0(T)</math> is the baseline hazard at time <math>T</math>
|}

&dagger;'Multiple' can be rephrased as 'Multi'''variable''''; <font color="red">'''NOT 'Multivariate'!!'''</font>