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The Winton M. Blount Postal History Symposia - Smithsonian ...

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n u m b e r 5 5 • 3 3TABLE 2. Population versus Postmaster Compensation for CensusYears 1820 To 1910.TABLE 3. Correlations between Population and Estimated Incomefor Individual Post Offices.Census Year Correlation Significance N1820 0.88 0.001 121830 0.85 0.001 191840 0.91 0.001 191850 0.96 0.001 191860 0.97 0.001 191870 0.97 0.001 191880 not calculated—see text.1890 0.92 0.001 191900 0.96 0.001 191910 0.97 0.001 18in 1880 relating to postmaster compensation is extremelyunclear as to how compensation was calculated. Thus,it has not yet been possible to calculate estimated postalincomes for 1880. For the other years, however, the correlationsbetween estimated income and population areconsistently high and positive, as shown in Table 2. Allcorrelations reported in this paper are Pearson Product-Moment correlations.It was not feasible to calculate the estimated incomefor all the several hundred post offices in New Hampshireevery census year. To simplify matters, a quasi-randomsample of nineteen post offices was chosen from the listof New Hampshire post offices operating in 1850. Thisresulted in the year 1820 having fewer than nineteen officesin the sample, as seven offices that were operating in1850 had not yet opened in 1820. By 1910, one office,Middleton, had closed, thus reducing the 1910 sample toeighteen offices. In order to assure that the obtained correlationswould not be artifactually small due to range restrictioneffects, all the largest post offices were included inthe sample as well as a range of other sizes from mediumto small (Table 2).Correlations were also calculated between populationand the uncorrected “raw” compensation data. Sincecomparisons were being made within a given year whenthe compensation formula was the same across all postmasters,it was not felt necessary to calculate estimatedpostal income. <strong>The</strong>se correlations were consistently highand positive. As would be expected based on the argumentabove that the compensation figures truncate the actualdistributions of income, these correlations were generallysomewhat smaller than those reported in Table 2. <strong>The</strong> correctionfor 1880 was r = + .90 (p < .001).Change inPost Office Correlation Significance Population (%) PeriodBethlehem 0.91 0.002 78 1830–1910Brookline –0.77 0.026 –20 1830–1910Center Harbor –0.73 0.026 –1 1820–1910Concord 0.90 0.001 657 1820–1910Dover 0.87 0.002 361 1820–1910Goshen –0.60 0.120 –57 1830–1910Hanover –0.44 0.240 –7 1820–1910Keene 0.94 0.001 431 1820–1910Kingston 0.23 0.555 20 1820–1910Lebanon 0.97 0.001 234 1820–1910Middleton –0.09 0.840 –47 1830–1900Portsmouth 0.48 0.191 54 1820–1910Randolph 0.34 0.414 –4 1830–1910Sanbornton –0.64 0.064 –74 1820–1910Springfield –0.48 0.234 –65 1830–1910Strafford 0.74 0.023 152 1820–1910Walpole 0.80 0.010 32 1820–1910Whitefield 0.82 0.012 139 1830–1910Windham –0.41 0.276 –34 1820–1910It is also possible to examine the correlations betweenpopulation and estimated postal income by examining thisrelationship at individual post offices over the period 1820(or 1830 in the case of offices not open in 1820) to 1910.Table 3 shows these correlations for the nineteen post officesin the sample.<strong>The</strong> pattern of correlations in Table 3 is clearly farfrom consistently positive. Of the nineteen, seven aresignificantly positive, two are significantly negative andone almost so. <strong>The</strong> others are not significant. This hardlyseems to be the pattern expected based on the results ofthe analyses of the correlations between population andestimated income seen in Table 2.What characteristics of the different towns could accountfor this pattern of correlations? Inspection of thedata suggested that in cases where the population of atown increased over the period in question, the correlationbetween population and estimated income was positive.But if the population of a town declined, the correctionwas negative. To test this, the percentage change in population(also shown in Table 3) of each town for the periodin question was correlated with the correlation betweenestimated income and population. This resulted in a highlysignificant correlation of r = + .89 (p < .001).

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