GLST

Generalized Least Squares for trend estimation of summarized dose-response data

Last update: March 29, 2012

What's new

Since 22aug2006: added two-stage random and fixed effects models; option ss, and vwls.
Since 16aug2005: code rewritten for Stata 9 using the new matrix programming language mata.
First version 18may2005: written for Stata 8.

Documentation

Advanced method (Part 4) in Jonathan A. C. Sterne (Editor) Meta-Analysis in Stata: An Updated Collection from the Stata Journal, 2009, StataPress.

Orsini N., Bellocco R., Greenland S. (2006) Generalized least squares for trend estimation of summarized dose-response data, Stata Journal, 6(1), pp.40-57

Orsini N., Ruifeng L., Wolk A., Khudyakov P., Spiegelman D. (2012) Meta-analysis for linear and non-linear dose-response relationships: examples, an evaluation of approximations, and software. American Journal of Epidemiology. 175(1):66-73.

Conferences

2011

Meta-Analysis for Linear and Nonlinear Dose-Response Relations: Examples, an Evaluation of Approximations, and Software
3rd North American Congress of Epidemiology Location: Montreal, CANADA Date: JUN 21-24, 2011

2005

Meta-analysis of epidemiological dose-response data, October 10 - 11, 2005
2nd Italian Stata Users Group meeting, Milan, Italy. Article (Orsini N., Bellocco R., Greenland S.) [pdf]
Generalized least squares for trend estimation of summarized dose-response data, September 26, 2005
1st Nordic and Baltic Stata Users Group meeting, Stockholm, Sweden. Article (Orsini N., Bellocco R., Greenland S.) [pdf]

Worked examples (do-file in txt format)

Dose-response model for a single study according to the study design

Case-control, Cumulative-incidence, Incidence-rate

Two-stage random-effects linear and non-linear models

Download and install

ssc install glst, replace

Papers using and/or citing `glst`

Please let Nicola Orsini know of any further publications using glst including papers in press, working papers available over the internet, PhD theses, etc.

2012

Marieke GM Braem et al Coffee and tea consumption and the risk of ovarian cancer: a prospective cohort study and updated meta-analysisAm J Clin Nutr May 2012
A Wallin, D Di Giuseppe, N Orsini, PS Patel, Nita G. Forouhi, A Wolk. Fish Consumption, Dietary Long-Chain n-3 Fatty Acids, and Risk of Type 2 Diabetes Systematic review and meta-analysis of prospective studies. Diabetes Care. 2012 vol. 35 no. 4 918-929
S Hong, Q Cai, D Chen, W Zhu. Abdominal obesity and the risk of colorectal adenoma: a meta-analysis of observational studies. European journal of cancer prevention. 2012. in press
Roerecke M, Rehm J. The cardioprotective association of average alcohol consumption and ischaemic heart disease: a systematic review and meta-analysis. Addiction. 2012.in press
Turati F.; Galeone C.; Edefonti V.; et al. A meta-analysis of coffee consumption and pancreatic cancer. ANNALS OF ONCOLOGY Volume: 23 Issue: 2 Pages: 311-318
Larsson SC, Orsini N, Wolk A. Dietary magnesium intake and risk of stroke: a meta-analysis of prospective studies. AMERICAN JOURNAL OF CLINICAL NUTRITION Volume: 95 Issue: 2 Pages: 362-366
Larsson SC, Wolk A. Red and processed meat consumption and risk of pancreatic cancer: meta-analysis of prospective studies. BRITISH JOURNAL OF CANCER Volume: 106 Issue: 3 Pages: 603-607
Discacciati A, Orsini N., Wolk A. Body mass index and incidence of localized and advanced prostate cancer- -a dose-response meta-analysis of prospective studies. Annals of Oncology. 2012 Jan 6.
Orsini N., Ruifeng L., Wolk A., Khudyakov P., Spiegelman D. Meta-analysis for linear and non-linear dose-response relationships: examples, an evaluation of approximations, and software. American Journal of Epidemiology. 2012; 175(1):66-73.

2011

Heckley GA, Jarl J, Asamoah BO, G-Gerdtham U. How the risk of liver cancer changes after alcohol cessation: A review and meta-analysis of the current literature. Bmc Cancer. 2011 Oct;11.
Larsson S., Orsini N., Wolk A. Dietary Potassium Intake and Risk of Stroke A Dose-Response Meta-Analysis of Prospective Studies. Stroke. 2011 Oct;42(10):2746-50.
Larsson SC, Wolk A. Body mass index and risk of non-Hodgkin's and Hodgkin's lymphoma: A meta-analysis of prospective studies. European Journal of Cancer. 2011 Nov;47(16):2422-30.
Lee JE. Circulating levels of vitamin D, vitamin D receptor polymorphisms, and colorectal adenoma: a meta-analysis. Nutrition Research and Practice. 2011 Oct;5(5):464-70.
Samitz G, Egger M, Zwahlen M. Domains of physical activity and all-cause mortality: systematic review and dose-response meta-analysis of cohort studies. Int J Epidemiol. 2011 Oct;40(5):1382-400.
Xu XT, Xu Q, Tong JL, Zhu MM, Huang ML, Ran ZH, et al. Meta-analysis: Circulating adiponectin levels and risk of colorectal cancer and adenoma. Journal of Digestive Diseases. 2011 Aug;12(4):234-44.
Zhou Y, Zhuang W, Hu W, Liu GJ, Wu TX, Wu XT. Consumption of Large Amounts of Allium Vegetables Reduces Risk for Gastric Cancer in a Meta-analysis. Gastroenterology. 2011 Jul;141(1):80-9.
Larsson S., Orsini N. Fish Consumption and the Risk of Stroke: A Dose-Response Meta-Analysis. Stroke. 2011 Sep 8.
Larsson S., Orsini N., Wolk A. Dietary Potassium Intake and Risk of Stroke: A Dose–Response Meta-Analysis of Prospective Studies. Stroke. 2011. Jul 28.
Orsini N., Ruifeng L., Wolk A., Khudyakov P., Spiegelman D. Meta-analysis for linear and non-linear dose-response relationships: examples, an evaluation of approximations, and software. American Journal of Epidemiology, in press.
Larsson S., Orsini N. Coffee consumption and risk of stroke: a dose-response meta-analysis of prospective studies. American Journal of Epidemiology, 2011 Nov;174(9):993-1001.
Xu Xi Tao; Xu Qi; Tong Jin Lu; et al. Meta-analysis: Circulating adiponectin levels and risk of colorectal cancer and adenoma Source: JOURNAL OF DIGESTIVE DISEASES Volume: 12 Issue: 4 Pages: 234-244 Published: AUG 2011
Zheng Jusheng; Yang Bin; Huang Tao; et al. Green Tea and Black Tea Consumption and Prostate Cancer Risk: An Exploratory Meta-Analysis of Observational Studies NUTRITION AND CANCER-AN INTERNATIONAL JOURNAL Volume: 63 Issue: 5 Pages: 663-672 Published: JUL 2011
Wallin Alice; Larsson Susanna C. Body mass index and risk of multiple myeloma: A meta-analysis of prospective studies EUROPEAN JOURNAL OF CANCER Volume: 47 Issue: 11 Pages: 1606-1615 Published: JUL 2011
Zhou Yong; Zhuang Wen; Hu Wen; et al. Consumption of Large Amounts of Allium Vegetables Reduces Risk for Gastric Cancer in a Meta-analysis GASTROENTEROLOGY Volume: 141 Issue: 1 Pages: 80-89 Published: JUL 2011
Pelucchi C, La Vecchia C, Bosetti C, et al. Exposure to acrylamide and human cancer-a review and meta-analysis of epidemiologic studies ANNALS OF ONCOLOGY Volume: 22 Issue: 7 Pages: 1487-1499 Published: JUL 2011
Television Viewing and Risk of Type 2 Diabetes, Cardiovascular Disease, and All-Cause Mortality A Meta-analysis Author(s): Grontved A, Hu FB Source: JAMA-JOURNAL OF THE AMERICAN MEDICAL ASSOCIATION Volume: 305 Issue: 23 Pages: 2448-2455 Published: JUN 15 2011
Red and Processed Meat and Colorectal Cancer Incidence: Meta-Analysis of Prospective Studies Author(s): Chan DSM, Lau R, Aune D, et al. Source: PLOS ONE Volume: 6 Issue: 6 Article Number: e20456 Published: JUN 6 2011
Green tea consumption and breast cancer risk: three recent meta-analyses Author(s): Zhou P, Li JP, Zhang C Source: BREAST CANCER RESEARCH AND TREATMENT Volume: 127 Issue: 2 Pages: 581-582 Published: JUN 2011
Coffee drinking and pancreatic cancer risk: A meta-analysis of cohort studies Author(s): Dong J, Zou JA, Yu XF Source: WORLD JOURNAL OF GASTROENTEROLOGY Volume: 17 Issue: 9 Pages: 1204-1210 Published: MAR 7 2011
Red and processed meat consumption and risk of ovarian cancer: a dose-response meta-analysis of prospective studies Author(s): Wallin A, Orsini N, Wolk A Source: BRITISH JOURNAL OF CANCER Volume: 104 Issue: 7 Pages: 1196-1201 Published: MAR 29 2011
Non-vigorous physical activity and all-cause mortality: systematic review and meta-analysis of cohort studies Author(s): Woodcock J, Franco OH, Orsini N, et al. Source: INTERNATIONAL JOURNAL OF EPIDEMIOLOGY Volume: 40 Issue: 1 Pages: 121-138 Published: FEB 2011
Coffee consumption and risk of cancers: a meta-analysis of cohort studies Author(s): Yu XF, Bao ZJ, Zou JA, et al. Source: BMC CANCER Volume: 11 Article Number: 96 Published: MAR 15 2011
Blood 25-hydroxyvitamin D concentration and hypertension: a meta-analysis Author(s): Burgaz A, Orsini N, Larsson SC, et al. Source: JOURNAL OF HYPERTENSION Volume: 29 Issue: 4 Pages: 636-645 Published: APR 2011
The relationship between body mass index and hip osteoarthritis: A systematic review and meta-analysis Author(s): Jiang LY, Rong JS, Wang YC, et al. Source: JOINT BONE SPINE Volume: 78 Issue: 2 Pages: 150-155 Published: MAR 2011
Black and green tea consumption and the risk of coronary artery disease: a meta-analysis Author(s): Wang ZM, Zhou B, Wang YS, et al. Source: AMERICAN JOURNAL OF CLINICAL NUTRITION Volume: 93 Issue: 3 Pages: 506-515 Published: MAR 2011

2010

Crosbie EJ, Zwahlen M, Kitchener HC, et al.Body Mass Index, Hormone Replacement Therapy, and Endometrial Cancer Risk: A Meta-Analysis. CANCER EPIDEMIOLOGY BIOMARKERS & PREVENTION Volume: 19 Issue: 12 Pages: 3119-3130 Published: DEC 2010.
Samokhvalov AV, Irving HM, Rehm Alcohol consumption as a risk factor for atrial fibrillation: a systematic review and meta-analysis. EUROPEAN JOURNAL OF CARDIOVASCULAR PREVENTION & REHABILITATION Volume: 17 Issue: 6 Pages: 706-712 Published: DEC 2010.
Rota M, Bellocco R, Scotti L, et al Random-effects meta-regression models for studying nonlinear dose response relationship, with an application to alcohol and esophageal squamous cell carcinoma. STATISTICS IN MEDICINE Volume: 29 Issue: 26 Pages: 2679-2687 Published: NOV 20 2010.
Samokhvalov AV, Irving HM, Rehm JAlcohol consumption as a risk factor for pneumonia: a systematic review and meta-analysis. EPIDEMIOLOGY AND INFECTION Volume: 138 Issue: 12 Pages: 1789-1795 Published: DEC 2010.
Mao QQ, Lin YW, Zheng XY, et al. A meta-analysis of alcohol intake and risk of bladder cancer. CANCER CAUSES & CONTROL. Volume: 21 Issue: 11 Pages: 1843-1850.
Galeone C, Turati F, La Vecchia C, et al. Coffee consumption and risk of colorectal cancer: a meta-analysis of case-control studies. CANCER CAUSES & CONTROL. Volume: 21 Issue: 11 Pages: 1949-1959 Published: NOV 2010.
Grulich AE, Vajdic CM, Falster MO, et al. Birth Order and Risk of Non-Hodgkin Lymphoma-True Association or Bias? AMERICAN JOURNAL OF EPIDEMIOLOGY Volume: 172 Issue: 6 Pages: 621-630.
Rehm J, Taylor B, Mohapatra S, et al. Alcohol as a risk factor for liver cirrhosis: A systematic review and meta-analysis. DRUG AND ALCOHOL REVIEW Volume: 29 Issue: 4 Pages: 437-445.
Samokhvalov AV, Irving H, Mohapatra S, et al. Alcohol consumption, unprovoked seizures, and epilepsy: A systematic review and meta-analysis. EPILEPSIA Volume: 51 Issue: 7 Pages: 1177-1184.
Friberg E, Orsini N, Mantzoros CS, et al. Alcohol intake and endometrial cancer risk: a meta-analysis of prospective studies. BRITISH JOURNAL OF CANCER Volume: 103 Issue: 1 Pages: 127-131.
Orsini N From floated to conventional confidence intervals for the relative risks based on published dose-response data. COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE Volume: 98 Issue: 1 Pages: 90-93.
Larsson SC, Orsini N, Wolk A Vitamin B-6 and Risk of Colorectal Cancer A Meta-analysis of Prospective Studies JAMA-JOURNAL OF THE AMERICAN MEDICAL ASSOCIATION , 2010, Volume: 303 Issue: 11 Pages: 1077-1083.
Olsen CM et al. Estimating the Attributable Fraction for Cancer: A Meta-analysis of Nevi and Melanoma Cancer Prevention Research, 2010, Volume: 3 Issue: 2 Pages: 233-245.
Tang NP et al.Coffee consumption and risk of lung cancer: A meta-analysis, Lung Cancer, 2010, Volume: 67 Issue: 1 Pages: 17-22.
Ning Y et al. A quantitative analysis of body mass index and colorectal cancer: findings from 56 observational studies Obesity Reviews, 2010, Volume: 11 Issue: 1 Pages: 19-30

2009

Huxley R et al. Coffee, Decaffeinated Coffee, and Tea Consumption in Relation to Incident Type 2 Diabetes Mellitus A Systematic Review With Meta-analysis. Archives of internal medicine, vol.:169 nummer:22 pages:2053 -2063.
Tang NP et al. Tea consumption and risk of endometrial cancer: a meta-analysis, American journal of obstetrics and gynecology, 2009, Volume: 201 Issue: 6 Article Number: 605.
Kondo N, Sembajwe G, Kawachi I, et al. Income inequality, mortality, and self rated health: meta-analysis of multilevel studies British Medical Journal, 2009, Volume: 339 Article Number: b4471.
Tang NP, Wu YM, Zhou B, Wang B, Yu RB. Green tea, black tea consumption and risk of lung cancer: A meta-analysis, Lung Cancer, Volume 65, Issue 3, Pages 274-283
Owen CG, Whincup PH, Orfei L, et al. Is body mass index before middle age related to coronary heart disease risk in later life? Evidence from observational studies, International Journal of Obesity, 33, 866-877
Qin Liu et al (2009) A two-stage hierarchical regression model for meta-analysis of epidemiologic nonlinear dose-response data, Computational Statistics & Data Analysis, Article in Press.
Shanshan Li et al (2009) Adiponectin Levels and Risk of Type 2 Diabetes A Systematic Review and Meta-analysis, JAMA, 302(2):179-188.
Tang NP et al (2009) Flavonoids Intake and Risk of Lung Cancer: A Meta-analysis, Japanese Journal of Clinical Oncology, 39(6):352-359.
Harriss, DJ et al (2009) Lifestyle factors and colorectal cancer risk (1): systematic review and meta-analysis of associations with body mass index, Colorectal Disease, 11(6), Pages 547 - 563
Tang N, Zhou B, Wang B, Yu R. (2009) Coffee consumption and risk of breast cancer: a metaanalysis", Am J Obstet Gynecol. 2009 Mar; 200(3)
Zheng H, Orsini N., Wolk A, Amin A, Leeder S, Ehrlich F (2009) Quantifying the dose-response between walking and CHD risk reduction: Meta-Analysis", European Journal of Epidemiology, 2009;24(4):181-92.
Suzuki R., Orsini N., Saji S., Wolk A. (2009) Body Weight and Incidence of Breast Cancer Defined by Estrogen and Progesterone Receptor Status - A meta-analysis, Int J Cancer, 2009 Feb 1;124(3):698-712

2008

Peter H. Whincup et al. (2008) Birth Weight and Risk of Type 2 Diabetes: A Systematic Review, JAMA, Vol. 300 No. 24, December 24/31.
Renehan AG, Tyson M, Egger M, Heller RF, Zwahlen M. (2008) Body-mass index and incidence of cancer: a systematic review and meta-analysis of prospective observational studies, Lancet, 2008 Feb 16;371(9612):569-78.
Ying Bao and Dominique S. Michaud (2008)Physical Activity and Pancreatic Cancer Risk: A Systematic Review, Cancer Epidemiology Biomarkers & Prevention 17, 2671, October 1, 2008.
Kheifets, L, Monroe J; Vergara X, Mezei G, Afifi A (2008) A Occupational Electromagnetic Fields and Leukemia and Brain Cancer: An Update to Two Meta-Analyses. Journal of Occupational & Environmental Medicine. 50(6):677-688, June 2008.
Rothman KJ, Greenland S, Lash TL (2008) Modern Epidemiology, 3rd Edition, Lippincott, Williams, & Wilkins, Pages: 851
Tsilidis KK, Branchini C, Guallar E, Helzlsouer KJ, Erlinger TP, Platz EA. C-reactive protein and colorectal cancer risk: a review of prospective studies. Int J Cancer. 2008 Sep 1;123(5):1133-40. Review.
Mucci LA, Spiegelman D (2008) Vitamin D and Cancer Risk—A Less Sunny Outlook? J Natl Cancer Inst. 2008 Jun 4; 100(11):759-U6.
Ladeiras-Lopes R, Pereira AK, Nogueira A, Pinheiro-Torres T, Pinto I, Santos-Pereira R, Lunet N. Smoking and gastric cancer: systematic review and meta-analysis of cohort studies Cancer Causes Control. 2008 Sep;19(7):689-701. Epub 2008 Feb 22.
Zhou B, Yang L, Sun Q, Cong R, Gu H, Tang N, Zhu H, Wang B. Cigarette smoking and the risk of endometrial cancer: a meta-analysis. Am J Med. 2008 Jun;121(6):501-508.
Robinson RW, Poole C, and Godley AP(2008) Systematic review of cancer’s association with body size in childhood and young adulthood. Cancer Causes and Control. March 18
Larsson SC, Wolk A. (2008) Overweight and obesity and incidence of leukemia: A meta-analysis of cohort studies. Int J Cancer. Mar 15;122(6):1418-21.
Suzuki R, Orsini N, Mignone L, Saji S, Wolk A. Alcohol intake and risk of breast cancer defined by estrogen and progesterone receptor status--a meta-analysis of epidemiological studies. Int J Cancer. 2008 Apr 15;122(8):1832-41.

2007

Larsson SC, Wolk A (2007) Obesity and colon and rectal cancer risk: a meta-analysis of prospective studies. Am J Clin Nutr. 2007 Sep;86(3):556-65.
Duval VG , Jacobs S, DR, Silventoinen K (2007) Comparison of body mass index, waist circumference, and waist/hip ratio in predicting incident diabetes: a meta-analysis. Epidemiol Rev. 2007;29:115-28.
Hamling JL, Weitkunat P, Ambuhl RM (2007) Facilitating meta-analyses by deriving relative effect and precision estimates for alternative comparisons from a set of estimates presented by exposure level or disease category. Stat Med., Aug 3.
Chao, C. (2007) Associations between Beer, Wine, and Liquor Consumption and Lung Cancer Risk: A Meta-analysis, Cancer Epidemiol Biomarkers Prev. 2007 Nov;16(11):2436-47.
Larsson SC, Wolk A (2007) Obesity and colon and rectal cancer risk: a meta-analysis of prospective studies, Am J Clin Nutr. 2007 Sep;86(3):556-65.
Larsson SC, Wolk A (2007) Body mass index and risk of multiple myeloma: A meta-analysis, Int J Cancer. 2007 Dec 1;121(11):2512-6.
Larsson SC, Wolk A (2007) Coffee consumption and risk of liver cancer: a meta-analysis, Gastroenterology. 2007 May;132(5):1740-5.
Larsson SC, Wolk A (2007) Obesity and risk of non-Hodgkin's lymphoma: A meta-analysis, Am J Clin Nutr. 2007 Sep;86(3):556-65.
Larsson SC, Wolk A (2007) Obesity and colon and rectal cancer risk: a meta-analysis of prospective studies, Int J Cancer. 2007 Oct 1;121(7):1564-70
Larsson SC, Wolk A (2007) Magnesium intake and risk of type 2 diabetes: a meta-analysis, J Intern Med. 2007 Aug;262(2):208-14
Larsson SC, Wolk A (2007) Body mass index and risk of multiple myeloma: A meta-analysis, Int J Cancer. 2007 Aug 6
Larsson SC, Wolk A (2007) Coffee consumption and risk of liver cancer: a meta-analysis, Gastroenterology. 2007 May;132(5):1740-5.
Larsson SC, Orsini N, Wolk A. (2007) Body mass index and pancreatic cancer risk: A meta-analysis of prospective studies, Int J Cancer. 2007 May 1;120(9):1993-8.
Larsson SC, Giovannucci E, Wolk A Folate and Risk of Breast Cancer: A Meta-analysis, J Natl Cancer Inst. 2007 Jan 3;99(1):64-76.

2006

Larsson SC, Wolk A. (2006) Meat consumption and risk of colorectal cancer: A meta-analysis of prospective studies, Int J Cancer. 2006 May 1;120(9):1993-8.
Larsson SC, Orsini N, Wolk A. (2006) Processed meat consumption and stomach cancer risk: a meta-analysis, J Natl Cancer Inst. 2006 Aug 2;98(15):1078-87.
Larsson SC, Orsini N, Wolk A. (2006) Milk, milk products, and lactose intake and ovarian cancer risk: A meta-analysis of epidemiological studies, Int J Cancer, 15;118(2):431-41