By Mary B. Breckenridge
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Extra resources for Age, Time, and Fertility. Applications of Exploratory Data Analysis
7). There are, however, still many large outliers with negative values at age cuts 19/20, 39/40, and 44/45, and positive values at the three age cuts in between. Considerable pattern still remains to be described. The iterative fitting procedures, termed empirical higher rank (EHR) analysis, that are used to search for more complex patterns in the data (for example, age cut by period interactions) are based on the median-polish approach. H o w e v e r , E H R analysis uses a refined measure of the "center" of the entire table, age cut, or period rather than median or trimmed mean rate.
The wide range of rates for the other four age groups, with age group 3 0 - 3 4 reaching a higher level than any other and age group 2 5 - 2 9 never falling as low as all of the others do; 4. the very low levels reached at one extreme by age groups 3 5 - 3 9 and 40-44; 5. the location of the median rate well above the middle of the interquartile range for all but age group 2 0 - 2 4 , reflecting the predominance of higher over lower rates in all but one age group in this time sequence, even in age groups with a wide range of rates.
These are pro tern choices that can be modified at any step of exploration. Some modifications will be improvements, and these are incorporated into the subsequent steps. Some modifications will be detrimental when judged by the dual criteria of the size of the residuals and the evidence of pattern left in the residuals. When this occurs, w e return to a previous step and try again. The important idea is to think of the choosing as an iterative dataguided process. In Chapter IV w e shall look at the results of one combination of choices that seem to work particularly well, for our purposes, with a specific set of age-specific fertility time sequences.