APPENDIX BSAMPLING ERRORSThe results from sample surveys are affected by two types of errors: nonsampling error andsampling error. The former is due to mistakes in implementing field activities, such as failing to locateand interview the correct household, errors in asking questions, data entry errors, etc. While numeroussteps were taken to minimize this sort of error in the O<strong>DHS</strong>, nonsampling errors are impossible to avoidentirely, and are difficult to evaluate statistically.Sampling errors, on the other hand, can be evaluated statistically. The sample of women selectedin the O<strong>DHS</strong> is only one of many samples of the same size that could have been drawn from thepopulation using the same design. Each sample would have yielded slightly different results from thesample actually selected. The variability observed among all possible samples constitutes sampling error,which can be estimated from survey results (though not measured exactly).Sampling error is usually measured in terms of the "standard error" (SE) of a particular statistic(mean, percentage, etc.), which is the square root of the variance of the statistic across all possiblesamples of identical size and design. The standard error can be used to calculate confidence intervalswithin which one can be reasonably sure the true value of the variable fails. For example, for any givenstatistic calculated from a sample survey, the value of that same statistic as measured in 95 percent of allpossible samples of identical size and design will fall within a range of plus or minus two times thestandard error of that statistic.If simple random sampling had been used to select women for the O<strong>DHS</strong>, it would have beenpossible to use straightforward formulas for calculating sampling errors. However, the O<strong>DHS</strong> sampledesign used two stages and clusters of households, and it was necessary to use more complex formulas.Therefore, the computer package CLUSTERS, developed for the World Fertility Survey, was used tocompute sampling errors.CLUSTERS treats any percentage or average as a ratio estimate, r = y/x, where both x and y areconsidered to be random variables. The variance of r is computed using the formula given below with thestandard error being the square root of the variance:l_f H [mh (mhvar (r) -- Z Z z~h~x2 h=l mh-1 i=l m~z2h)linwhich, zh~ = Yhl - rxh±, and z h = Yh - rxh,where hra~Yh~Xhifrepresents the stratum and varies from 1 to H,is the total number of PSUs selected in the h-th stratum,is the sum of the values of variable y in PSU i in the h-th stratum,is the sum of the number of cases (women) in PSU i in the h-th stratum, andis the overall sampling fraction, which is so small that CLUSTERS ignores it.87
In addition to the standard errors, CLUSTERS computes the design effect (DEFT) for eachestimate, which is defined as the ratio between the standard error using the given sample design, and thestandard error that would result if a simple random sample had been used. A DEFT value of 1 indicatesthat the sample design is as efficient as a simple random sample; a value greater than 1 indicates that theincrease in the sampling error is due to the use of a more complex and less statistically efficient design.Sampling errors are presented in this appendix for 39 variables considered to be of primaryinterest. Results are presented for Ondo State, for urban and rural areas, and for three age groups. Foreach variable, the type of statistic (mean, proportion) and the base population (e.g., all women, women inunion) are given in Table B.1. Table B.2 presents the value of the statistic, R; its standard error, SE; theactual number of cases, N; the DEFT value; and the relative standard error, SE/R for each variable. Inaddition to these indicators, the 95 percent confidence limits for the statistic, R-2SD and R+2SD, arepresented.In general, the sampling errors for Ondo State as a whole are small, which means that the O<strong>DHS</strong>results are reliable. For example, in the whole sample, the survey found that women average 3.315children ever bom; the standard error of this estimate is .074. Therefore, to obtain the 95 percentconfidence limit, one adds and subtracts twice the standard error to the sample estimate, i.e., 3.315 +. 148.There is a 95 percent chance that the true average number of children ever born to all women 15-49 inOndo State is between 3.2 and 3.5.88
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ONDO STATE, NIGERIADEMOGRAPHICANDHE
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This report presents the findings o
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Page4.34.44.54.64.74.8Current Use o
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PageTable 3.3Table 3.4Table 3.5Tabl
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PageTable 5.1Table 5.2Table 5.3Tabl
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PageAPPENDIX A ....................
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PREFACEThe Ondo State Demographic a
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percent of women using each) and th
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1. BACKGROUND1.1 Geography and Hist
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Although the reporting of family pl
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Table 1.2Number of Selected Primary
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Religion and EthnicityThe majority
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Sources of WaterInformation was als
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consistent with the comparable stat
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esults must be interpreted with cau
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Following the birth of a child, the
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3. FERTILITY3.1 Fertility Data in t
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educational attainment, differences
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distributions. The proportion with
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Table 3.5 Percent Distribution of A
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Table 4.1Percentage Knowing Any Met
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Women who had heard of methods were
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Table 4.6Percent Distribution of Al
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Table 4.7Percent Distribution of Cu
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SKIP7e9CHECK 7@8:DOES/DID NOT WORKI
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INTERVIEWER'S OBSERVATIONS.(To be t