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INDOOR NITROGEN DIOXIDE, GAS COOKING AND ASTHMA 1727 <br />Statistical methods <br />We conducted meta-analyses to obtain summary risk <br />estimates for the association between asthma, wheeze <br />and household NO2 exposure and its surrogate, gas <br />cooking. For every single exposure variable, to distin- <br />guish the differing reporting times of symptoms <br />between studies, we reported not only the overall <br />meta -OR combining all the studies but also the sub- <br />group meta-ORs in both 'current' and 'lifetime' <br />asthma (or wheeze). When a study reported risk esti- <br />mates For different strata of the population, e.g. for boys <br />and girls ,3A,37-39 children with asthmatic mothers or <br />non -asthmatic mothers40 and children living in single - <br />or multi -family houses,41 we included these directly <br />into the meta-analysis without combining them first. <br />The risk estimates for the exposure ves non -exposure <br />categories of gas cooking were summarized. <br />For NO2 exposure, we calculated two types of pooled <br />risk estimates: (i) for the comparison of asthma and <br />wheeze risk at high vs low exposure independently of <br />the exact definition of high and low exposure, and <br />(ii) for asthma and wheeze risk per 15 -ppb increase <br />in continuous NO, concentration. For inclusion in the <br />meta-analysis, we converted all results in µg/m3 to <br />l5 ppb using standard pressure and temperature. In <br />the high vs low exposure meta-analysis, the included <br />studies reported different specific ranges for NO2, <br />which precludes a direct comparison of effect esti- <br />mates from these studies. Some studies categorized <br />NO2 levels into more than two categories; from <br />these, we selected ORS for the highest compared <br />with the lowest exposure category. We appreciate <br />that this analysis is semi -quantitative. <br />Heterogeneity <br />We used standard chi-square tests to examine the <br />heterogeneity among studies; results were defined as <br />heterogeneous for P <0.10.2 The Iz statistic was used <br />to quantify the extent of inconsistency among the <br />studies. The I2 values <25% reflect low inconsistency, <br />values of 25-75% reflect moderate inconsistency, <br />whereas values >75% indicate high inconsistencies <br />among studies." Due to the heterogeneity among stu- <br />dies which were performed independently by different <br />researchers in different populations, pooled risk esti- <br />mates were calculated by random -effect models with <br />inverse -variance weights 44 Summary estimates from <br />fixed -effect models were also presented in the Forest <br />plots for comparison. <br />Influence analysis <br />To evaluate the influence of individual studies on the <br />summary effect estimate, we performed influence <br />analysis. This method recalculated the summary esti- <br />mate, omitting one study at a time. <br />Sensitivity analysis <br />Sensitivity analyses were employed to test whether <br />the risk estimates varied by study region and age of <br />the participants. Age was categorized into <6 years, <br />6-10 years and >10 years. Further subdivision of the <br />youngest category was not possible because of the <br />number of studies performed within that age range. <br />Study regions were divided into Europe, North <br />America, and Asian and Pacific area. <br />We noticed that the proportion of gas cooking varied <br />considerably between studies. In order to examine <br />whether observed exposure health relationships of a <br />study were associated with the percentage exposed to <br />gas cooking, stratified analyses were performed using <br />30% of cooking with gas stoves as a cut-off. <br />In our database, there were some studies which were <br />conducted a long time ago. Since then, the actual use <br />and the emissions of gas cookers as well as disease <br />management strategies may have changed. To exam- <br />ine the influence of older studies, we compared risk <br />estimates between older and newer studies as part of a <br />sensitivity analysis. For operational purposes, the pub- <br />lication year 2000 was used as the cut-off. <br />Subsequently, exploratory univariate meta -regres- <br />sions were performed to assess whether heterogeneity <br />in associations between gas cooking and asthma and <br />wheeze between studies was related to age of the par- <br />ticipants, study region, proportion of gas cooking and <br />year of publication. <br />Furthermore, random effects models were per- <br />formed to determine the potential impact by asth- <br />matic subjects. Asthmatic children may be more <br />sensitive to the effects of indoor NO2. Therefore, we <br />repeated analyses of the associations of gas cooking <br />and indoor NO2 with wheeze by excluding two Stu- <br />dies which focused on asthmatic children only at the <br />initial recruitment. <br />Assessing publication bias <br />Publication bias was evaluated with funnel plots and <br />the Egger's and Begg's tests. 45 <br />All statistical analyses were performed using STATA <br />(version 10; StataCorp LP, College Station, TX, USA), <br />employing the 'metan', 'metabias' and 'metainf com- <br />mands for meta-analyses and bias evaluation. <br />'Metareo was used to test differences in effect size <br />between subgroups of studies_ <br />Results <br />A now chart of the selection stages of the studies for <br />analysis is shown in Figure 1. We extracted data from <br />41 studies published since 1977 assessing the relation- <br />ship between household NO2 or gas cooking and <br />asthma and wheeze (Supplementary Table 1, available <br />as Supplementary data at IJE online). 13,29,32-o,4!74 <br />Among those 41 studies, 19 studies were conducted <br />in Europe (UK, Austria, Germany, Netherlands, Czech <br />Republic, Spain and Russia), 14 in North America <br />(USA and Canada), 3 in Asia (China and Japan), 4 <br />in Australia and 1 in New Zealand. Among them, four <br />studies contributed information on infant s32,40,65,75 <br />0 <br />0 <br />a <br />0 <br />11 <br />