RAREMETAL METHOD - Revision history

Abought: Tag category

2019-05-20T17:28:07Z

Tag category

← Older revision		Revision as of 13:28, 20 May 2019
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	<math>\mathbf{Q}\sim\sum_{i=1}^m{\lambda_i\chi_{1,i}^2}, </math> where <math>\left(\lambda_1,\lambda_2,\dots,\lambda_m\right)</math> are eigen values of <math>\mathbf{V_{meta}^\frac{1}{2}}\mathbf{W}\mathbf{V_{meta}^\frac{1}{2}}</math>.		<math>\mathbf{Q}\sim\sum_{i=1}^m{\lambda_i\chi_{1,i}^2}, </math> where <math>\left(\lambda_1,\lambda_2,\dots,\lambda_m\right)</math> are eigen values of <math>\mathbf{V_{meta}^\frac{1}{2}}\mathbf{W}\mathbf{V_{meta}^\frac{1}{2}}</math>.


			[[Category:RAREMETAL]]

2016-11-27T19:42:52Z

SINGLE VARIANT META ANALYSIS

← Older revision		Revision as of 15:42, 27 November 2016
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	<math>V_{meta_i}={\sigma^{2}}\sum_{k=1}^S{(V_{ii,k}{\Omega_{k}}-4n_{k}(ff'-f_{k}f_{k}'))}</math>		<math>V_{meta_i}={\sigma^{2}}\sum_{k=1}^S{(V_{ii,k}{\Omega_{k}}-4n_{k}(ff'-f_{k}f_{k}'))}</math>

	<math>{\sigma^{2}}=\sum_{k=1}^S{((n_{k}-1){\Omega_{k}}+n_{k}{\delta_{k}})}/(n-1)</math>		<math>{\sigma^{2}}=\sum_{k=1}^S{((n_{k}-1){\Omega_{k}}+n_{k}{\delta_{k}^{2}})}/(n-1)</math>

	===BURDEN META ANALYSIS===		===BURDEN META ANALYSIS===

2016-11-27T19:42:34Z

SINGLE VARIANT META ANALYSIS

← Older revision		Revision as of 15:42, 27 November 2016
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	<math>V_{meta_i}={\sigma^{2}}\sum_{k=1}^S{(V_{ii,k}{\Omega_{k}}-4n_{k}(ff'-f_{k}f_{k}'))}</math>		<math>V_{meta_i}={\sigma^{2}}\sum_{k=1}^S{(V_{ii,k}{\Omega_{k}}-4n_{k}(ff'-f_{k}f_{k}'))}</math>

	<math>{\sigma^{2}}=\sum_{k=1}^S{((n_{k}-1){\Omega_{k}}+n_{k}{\delta_{k~~}_{2~~}})}/(n-1)</math>		<math>{\sigma^{2}}=\sum_{k=1}^S{((n_{k}-1){\Omega_{k}}+n_{k}{\delta_{k}})}/(n-1)</math>

	===BURDEN META ANALYSIS===		===BURDEN META ANALYSIS===

2016-11-27T19:41:33Z

SINGLE VARIANT META ANALYSIS

← Older revision		Revision as of 15:41, 27 November 2016
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	<math>V_{meta_i}={\sigma^{2}}\sum_{k=1}^S{(V_{ii,k}{\Omega_{k}}-4n_{k}(ff'-f_{k}f_{k}'))}</math>		<math>V_{meta_i}={\sigma^{2}}\sum_{k=1}^S{(V_{ii,k}{\Omega_{k}}-4n_{k}(ff'-f_{k}f_{k}'))}</math>

	<math>{\sigma^{2}}=\sum_{k=1}^S{((n_{k}-1){\Omega_{k}}+n_{k}{\delta_{k}})}/(n-1)</math>		<math>{\sigma^{2}}=\sum_{k=1}^S{((n_{k}-1){\Omega_{k}}+n_{k}{\delta_{k}_{2}})}/(n-1)</math>

	===BURDEN META ANALYSIS===		===BURDEN META ANALYSIS===

2016-11-27T19:41:20Z

SINGLE VARIANT META ANALYSIS

← Older revision		Revision as of 15:41, 27 November 2016
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	'''Optimized method for unbalanced studies (--useExact)''':		'''Optimized method for unbalanced studies (--useExact)''':

	<math>U_{meta_i}=\sum_{k=1}^S {U_{i,k}/\hat{\Omega_{k}}}-\sum_{k=1}^S{2n_{k}{\delta_{k}(f_{i}-f_{i,k})}}</math>		<math>U_{meta_i}=\sum_{k=1}^S {U_{i,k}/\hat{\Omega_{k}}}-\sum_{k=1}^S{2n_{k}{\delta_{k}^{2}(f_{i}-f_{i,k})}}</math>

	<math>V_{meta_i}={\sigma^{2}}\sum_{k=1}^S{(V_{ii,k}{\Omega_{k}}-4n_{k}(ff'-f_{k}f_{k}'))}</math>		<math>V_{meta_i}={\sigma^{2}}\sum_{k=1}^S{(V_{ii,k}{\Omega_{k}}-4n_{k}(ff'-f_{k}f_{k}'))}</math>

2016-11-27T19:40:44Z

SINGLE VARIANT META ANALYSIS

← Older revision		Revision as of 15:40, 27 November 2016
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	<math>V_{meta_i}={\sigma^{2}}\sum_{k=1}^S{(V_{ii,k}{\Omega_{k}}-4n_{k}(ff'-f_{k}f_{k}'))}</math>		<math>V_{meta_i}={\sigma^{2}}\sum_{k=1}^S{(V_{ii,k}{\Omega_{k}}-4n_{k}(ff'-f_{k}f_{k}'))}</math>

	<math>{\sigma^{2}}=\sum_{k=1}^S{((n_{k}-1){\Omega_{k}})}/(n-1)</math>		<math>{\sigma^{2}}=\sum_{k=1}^S{((n_{k}-1){\Omega_{k}}+n_{k}{\delta_{k}})}/(n-1)</math>

	===BURDEN META ANALYSIS===		===BURDEN META ANALYSIS===

2016-11-27T19:39:50Z

SINGLE VARIANT META ANALYSIS

← Older revision		Revision as of 15:39, 27 November 2016
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	<math>V_{meta_i}={\sigma^{2}}\sum_{k=1}^S{(V_{ii,k}{\Omega_{k}}-4n_{k}(ff'-f_{k}f_{k}'))}</math>		<math>V_{meta_i}={\sigma^{2}}\sum_{k=1}^S{(V_{ii,k}{\Omega_{k}}-4n_{k}(ff'-f_{k}f_{k}'))}</math>

			<math>{\sigma^{2}}=\sum_{k=1}^S{((n_{k}-1){\Omega_{k}})}/(n-1)</math>

	===BURDEN META ANALYSIS===		===BURDEN META ANALYSIS===

2016-11-27T19:37:28Z

SINGLE VARIANT META ANALYSIS

← Older revision		Revision as of 15:37, 27 November 2016
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	<math>U_{meta_i}=\sum_{k=1}^S {U_{i,k}/\hat{\Omega_{k}}}-\sum_{k=1}^S{2n_{k}{\delta_{k}(f_{i}-f_{i,k})}}</math>		<math>U_{meta_i}=\sum_{k=1}^S {U_{i,k}/\hat{\Omega_{k}}}-\sum_{k=1}^S{2n_{k}{\delta_{k}(f_{i}-f_{i,k})}}</math>

	<math>V_{meta_i}={\sigma^{2}}\sum_{k=1}^S{(V_{ii,k}-4n_{k}(ff'-f_{k}f_{k}'))}</math>		<math>V_{meta_i}={\sigma^{2}}\sum_{k=1}^S{(V_{ii,k}{\Omega_{k}}-4n_{k}(ff'-f_{k}f_{k}'))}</math>

	===BURDEN META ANALYSIS===		===BURDEN META ANALYSIS===

2016-11-27T19:35:45Z

SINGLE VARIANT META ANALYSIS

← Older revision		Revision as of 15:35, 27 November 2016
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	<math>U_{meta_i}=\sum_{k=1}^S {U_{i,k}/\hat{\Omega_{k}}}-\sum_{k=1}^S{2n_{k}{\delta_{k}(f_{i}-f_{i,k})}}</math>		<math>U_{meta_i}=\sum_{k=1}^S {U_{i,k}/\hat{\Omega_{k}}}-\sum_{k=1}^S{2n_{k}{\delta_{k}(f_{i}-f_{i,k})}}</math>

	<math>V_{meta_i}={\sigma^{2}}\sum_{k=1}^S{V_{ii,k}-4n_{k}(ff'-f_{k}f_{k}')}</math>		<math>V_{meta_i}={\sigma^{2}}\sum_{k=1}^S{(V_{ii,k}-4n_{k}(ff'-f_{k}f_{k}'))}</math>

	===BURDEN META ANALYSIS===		===BURDEN META ANALYSIS===

2016-11-27T19:35:06Z

SINGLE VARIANT META ANALYSIS

← Older revision		Revision as of 15:35, 27 November 2016
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	<math>T_{meta_i}=U_{meta_i}\bigg/\sqrt{V_{meta_i}}=\sum_{k=1}^S {U_{i,k}}\bigg/\sqrt{\sum_{k=1}^S{V_{ii,k}}} \sim\mathbf{N}(0,1)</math>.		<math>T_{meta_i}=U_{meta_i}\bigg/\sqrt{V_{meta_i}}=\sum_{k=1}^S {U_{i,k}}\bigg/\sqrt{\sum_{k=1}^S{V_{ii,k}}} \sim\mathbf{N}(0,1)</math>.


	'''Optimized method for unbalanced studies (--useExact)''':		'''Optimized method for unbalanced studies (--useExact)''':

	<math>U_{meta_i}=\sum_{k=1}^S {U_{i,k}/\hat{\Omega_{k}}}-\sum_{k=1}^S{2n_{k}{\delta_{k}(f_{i}-f_{i,k})}}</math>		<math>U_{meta_i}=\sum_{k=1}^S {U_{i,k}/\hat{\Omega_{k}}}-\sum_{k=1}^S{2n_{k}{\delta_{k}(f_{i}-f_{i,k})}}</math>

			<math>V_{meta_i}={\sigma^{2}}\sum_{k=1}^S{V_{ii,k}-4n_{k}(ff'-f_{k}f_{k}')}</math>

	===BURDEN META ANALYSIS===		===BURDEN META ANALYSIS===