Interval Estimation for the Amount of Heterogeneity in Meta-Analysis Based on Q-Statistic Following Linear Transformation of Chi-Square Distribution_Chinese Journal of Evidence-Based Medicine

Authors：

 LIU Jintao , QIN Chaoying , DANG Hong

Applied Mathematics, College of Science, Northwestern Polytechnical University, Xi’an 710072, China;

Corresponding author：

LIU Jintao, Email: yongtao1985@126.com

Keywords：

Meta-analysis; Heterogeneity; Q-statistic; Interval estimation

DOI：

10.7507/1672-2531.20120219

Video：

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Abstract Full text Figures/Tables Video References Cited by

Objective 　To investigate confidence interval estimation for the amount of heterogeneity in meta-analysis.
Methods 　On the basis of BT’s method, the approximate Q-statistic distribution following linear transformation of Chi-square was applied to improve the accuracy of Q-statistic distribution, and to obtain the confidence interval for the amount of heterogeneity in meta-analysis.
Results 　In case, the Q1 distribution obtained 95%CI 0.07 to 2.20, while the Q2 distribution obtained 95%CI 0.00 to 1.41; The proposed method Q2 narrowed down the range of confidence interval.
Conclusion 　On account of improving the accuracy of Q-statistic distribution, the proposed method effectively strengthens the coverage probabilities of the confidence interval for the amount of heterogeneity. And the proposed method can also improve the precision of the confidence interval estimation for the amount of heterogeneity.

Citation： LIU Jintao,QIN Chaoying,DANG Hong. Interval Estimation for the Amount of Heterogeneity in Meta-Analysis Based on Q-Statistic Following Linear Transformation of Chi-Square Distribution. Chinese Journal of Evidence-Based Medicine, 2012, 12(11): 1404-1406. doi: 10.7507/1672-2531.20120219 Copy

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2.	王家良, 主编. 循证医学. 第2版. 北京: 人民卫生出版社, 2006: 84-85.
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4.	DerSimonian R, Kacker R. Random-effects model for meta-analysis of clinical trials: An update. Contemporary Clinical Trials, 2007, 28: 105-114.
5.	Biggerstaff BJ, Tweedie RL. Incorporating variability in estimates of heterogeneity in the random effects model in meta-analysis. Statistics in Medicine, 1997, 16: 753-768.
6.	Hardy RJ, Thompson SG. A likelihood approach to meta-analysis with random effects. Statistics in Medicine, 1996, 15(6): 619-629.
7.	Kurex Sidik, Jeffrey NJ. Simple heterogeneity variance estimation for meta-analysis. Appl. Statist, 2005, 54(2): 367-384.
8.	Sarah EB, Ian RG. A simple method for inference on overall effect in meta-analysis. Statistics in Medicine, 2007, 26: 4531-4543.
9.	Biggerstaff BJ, Jackson D. The exact distribution of Cochran’s heterogeneity statistic in one-way random effects meta-analysis. Statistics in Medicine, 2008, 27: 6093-6110.
10.	Knapp G, Biggerstaff BJ, Hartung J. Assessing the amount of heterogeneity in random-effects meta-analysis. Bimetrical Journal, 2006, 48: 271-285.
11.	Viechtbauer W. Confidence intervals for the a mount of heterogeneity in meta-analysis. Statistics in Medicine, 2007, 26: 37-52.
12.	DerSimonian R, Laird N. Meta-analysis in clinical trials. Controlled Clinical Trials, 1986, 7: 177-188.
13.	Alexander JS, Julian PT. Recent developments in meta-analysis. Statist in Medicine, 2008, 27: 625-650.
14.	颜虹, 主编. 医学统计学. 第2版. 北京: 人民卫生出版社, 2005: 456-458.
15.	Julian PT, Simon GT. Quantifying heterogeneity in a meta-analysis. Statistics in Medicine, 2002, 21: 1539-1558.

1. 王丹, 翟俊霞, 牟振云, 等. Meta分析中的异质性及其处理方法. 中国循证医学杂志, 2009, 9(10): 1115-1118.
2. 王家良, 主编. 循证医学. 第2版. 北京: 人民卫生出版社, 2006: 84-85.
3. Julian PT, Simon GT, David JS. A re-evaluation of random-effects meta-analysis. Journal of the Royal Statistical Society, 2009, 172(1): 137-159.
4. DerSimonian R, Kacker R. Random-effects model for meta-analysis of clinical trials: An update. Contemporary Clinical Trials, 2007, 28: 105-114.
5. Biggerstaff BJ, Tweedie RL. Incorporating variability in estimates of heterogeneity in the random effects model in meta-analysis. Statistics in Medicine, 1997, 16: 753-768.
6. Hardy RJ, Thompson SG. A likelihood approach to meta-analysis with random effects. Statistics in Medicine, 1996, 15(6): 619-629.
7. Kurex Sidik, Jeffrey NJ. Simple heterogeneity variance estimation for meta-analysis. Appl. Statist, 2005, 54(2): 367-384.
8. Sarah EB, Ian RG. A simple method for inference on overall effect in meta-analysis. Statistics in Medicine, 2007, 26: 4531-4543.
9. Biggerstaff BJ, Jackson D. The exact distribution of Cochran’s heterogeneity statistic in one-way random effects meta-analysis. Statistics in Medicine, 2008, 27: 6093-6110.
10. Knapp G, Biggerstaff BJ, Hartung J. Assessing the amount of heterogeneity in random-effects meta-analysis. Bimetrical Journal, 2006, 48: 271-285.
11. Viechtbauer W. Confidence intervals for the a mount of heterogeneity in meta-analysis. Statistics in Medicine, 2007, 26: 37-52.
12. DerSimonian R, Laird N. Meta-analysis in clinical trials. Controlled Clinical Trials, 1986, 7: 177-188.
13. Alexander JS, Julian PT. Recent developments in meta-analysis. Statist in Medicine, 2008, 27: 625-650.
14. 颜虹, 主编. 医学统计学. 第2版. 北京: 人民卫生出版社, 2005: 456-458.
15. Julian PT, Simon GT. Quantifying heterogeneity in a meta-analysis. Statistics in Medicine, 2002, 21: 1539-1558.

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