17 research outputs found
THE VARIANCE OF INTRACLASS CORRELATION INVOLVING GROUPS WITH ONE OBSERVATION
An approximate formula is derived for the variance of intraclass correlation when unequal numbers of observations per group occur. The effect on the variance of t of adding groups with single observations is examined using the formula and results obtained by empirically generating data on a computer. The empirical results indicate that the approximate formula is satisfactory over the range of numbers used. Adding a group with fewer than the average number of observations per group tends to reduce Vt by increasing the degrees of freedom for groups by one, but tends to increase Vt by decreasing the average precision of estimating group means. The net effect can be either negative or positive, depending on t, s and the ni’s. Robertson [1962] pointed out that, when the ratio of the between group mean square to the within group mean square is small, exclusion of groups below half the average size will reduce the variance of the between group component. He further suggested a method for combining estimates of the between group component when n is highly variable. Results using the formula show that the point where efficiency is lost when a group of size one is added is primarily a function of the number per group, and is affected very little by the number of groups. The value of n where groups of size one should be excluded is shown graphically for varying levels of t. Increases in Vt are demonstrated using the empirical data. The empirical results suggest that the increase in V t may be even larger than the formula indicates, especially for large values of t. Only the addition of groups of size one is studied. Adding small groups larger than one would also tend to increase Vtwhen n and t are small
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Metallic Mineral Districts and Production in Arizona
Mineral districts presented herein and delineated on the enclosed map were defined according to geological criteria. The principal goal was to arrange known metallic mineral occurrences into discreet metallogenic systems of similar age and style of mineralization. It Is strongly stressed that many of the metallic occurrences have poorly understood geological controls and hence, many of the district boundaries will change as knowledge of both their deposits and geologic settings is improved. Nevertheless, this map initiates a geological approach to the subject of mine district definition and suggests that mineral districts are ultimately geological phenomena. Include a map sheet showing the distribution of metallic mineral districts of Arizona, map scale 1:1,000,000.On 14 June, the Metallic Mineral Districts of Arizona map sheet was added.Documents in the AZGS Document Repository collection are made available by the Arizona Geological Survey (AZGS) and the University Libraries at the University of Arizona. For more information about items in this collection, please contact [email protected]