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Incomplete Categorical Data Design: Non-Randomized Response by Guo-Liang Tian

24 February 2017 adminProbability Statistics

By Guo-Liang Tian

Respondents to survey questions concerning delicate details, akin to sexual habit, unlawful drug utilization, tax evasion, and source of revenue, may well refuse to respond to the questions or supply untruthful solutions to guard their privateness. This creates a problem in drawing legitimate inferences from in all probability misguided facts. Addressing this trouble, non-randomized reaction methods permit pattern survey practitioners and utilized statisticians to guard the privateness of respondents and correctly research the accrued data.

Incomplete specific information layout: Non-Randomized reaction recommendations for delicate Questions in Surveys is the 1st ebook on non-randomized reaction designs and statistical research equipment. The strategies coated combine the strengths of current ways, together with randomized reaction versions, incomplete specific facts layout, the EM set of rules, the bootstrap approach, and the information augmentation set of rules.

A self-contained, systematic advent, the ebook exhibits you the way to attract legitimate statistical inferences from survey info with delicate features. It courses you in using the non-randomized reaction technique in surveys and new non-randomized reaction designs. All R codes for the examples can be found at www.saasweb.hku.hk/staff/gltian/.

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Additional resources for Incomplete Categorical Data Design: Non-Randomized Response Techniques for Sensitive Questions in Surveys

Sample text

4) Have you suffered from athlete’s foot? (5) Is the last digit of your cell phone an odd number? 2 Item Count Techniques 11 According to your case, how many ‘yes’ answers are there? Respondents in the treatment group will be presented the following questions: (1) Do you have a sister? (2) Do you like music? (3) Is your birthday in January, February or March? (4) Have you suffered from athlete’s foot? (5) Is the last digit of your cell phone an odd number? (6) Have you ever shoplifted? According to your case, how many ‘yes’ answers are there?

P. 16), we obtain π ˆC . 17) Case I: 1 − p λ ˆCM = π follows immediately. ˆ < 1 − p. Now π Case II: λ ˆCM = 0. If √ ˆ + p − 1| > 0 πCM − π ˆC )| > 0 ⇒ |λ | n(ˆ ˆ + p − 1| = −(λ ˆ + p − 1) ⇒ 0 < |λ ˆ − λ) − {λ − (1 − p)} = −(λ ˆ − λ| ⇒ |λ ˆ − λ) > λ − (1 − p). 19) Noting that ε < min{p − λ, λ − (1 − p)}, we have {λ − (1 − p)} − ε > 0. 18) follows. ˆ > p. Now π Case III: λ ˆCM = 1. If √ ˆ >0 πCM − π ˆC )| > 0 ⇒ |p − λ| | n(ˆ ˆ = −(p − λ) ˆ ⇒ 0 < |p − λ| ˆ − (p − λ) = −(λ − λ) ˆ ⇒ |λ − λ| ˆ > p − λ.

The target population of interest in this study contains those married women of age 20 to 44 in the South District of Taichung City, Taiwan. The investigators would like to estimate the incidence rate of induced abortions in the target population. , n = 150). 25 with estimated variance being (Migon & Tachibana, 1997, p. 01. 446]. , a = b = 1). 3 and the observed data are Yobs = {n; n , n − n } = {150; 90, 60}. 0742. 4457]. 29) converges in 96 iterations. 25, which is identical to the MLE π ˆW .

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