Abstract
To evaluate the erroneous age reporting, there are several demographic methods available depending upon the type of age data. For example, in the case of single year of age data, some of the most commonly used measures in literature are the Whipple index, Myers index, Bachi index, and modified Whipple indices. This paper proposes a new modification of the Karup–King–Newton index as a general measure to check the quality of age distortion. When we compare the modified Karup–King–Newton index to the original index, it appears to be more adequate in terms of the estimation objective. Also, the proposed index is based on the same linearity assumption and practically gives the same result and direction as the original Karup–King–Newton index.
Highlights
(i) e transfer of age misreporting does not stretch the 5-year age group, so we group into the 10-year age group. is method presumes that the error will be removed
Age misreporting will be further reduced by using 6-year age groupings, as errors that transfer beyond the 3-year age group will be captured. e index is developed on the principle of the original Karup–King–Newton index. e derivation of the index is given below
Assumption (i) e transfer of age does not stretch beyond 3 years, so by grouping into a 6year age group, the method assumes that the error will be cancelled out
Summary
We use the 3-year age group as compared to the 5-year age group or the 10-year age group. E 3-year age interval is better in the sense that it will reduce errors as compared to the 5-year age group. Age misreporting will be further reduced by using 6-year age groupings, as errors that transfer beyond the 3-year age group will be captured. Suppose that the population in 3-year age groups is divided into six consecutive groups denoted by W0,W1,W2,W3,W4, and W5. Let the population be divided into 6-year age groups denoted by V0, V1, and V2 such that. It is exciting to see that (4) and (5) are the same as the Karup–King oscillatory multipliers for splitting 6-year age groups into 3-year age groups. Assumption (i) e transfer of age (net age misreporting error) does not stretch beyond 3 years, so by grouping into a 6year age group, the method assumes that the error will be cancelled out. (ii) e patterns of error are similar in six successive 3year age groups
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