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Randomized Response

Researchers who study sensitive topics are often confronted with a higher refusal rate and often obtain more socially desirable answers. To tackle these problems, Stanley L. Warner introduced the randomized response technique (RRT). This is an interview method that guarantees total privacy and therefore, in theory, can overcome the reluctance of respondents to reveal sensitive or probably harmful information. Warner's original method used a randomization device (usually colored beads, coins, or dice) to direct respondents to answer one out of two statements, such as:

  • A: I am a communist. (A: selected with probability p)
  • B:I am not a communist. (not-A: selected with probability 1-p)

Without revealing to the interviewer which statement was selected by the dice, the respondent answers true or not true according to whether or not he or she is a communist. Elementary probability theory can be used to get a bias-free estimate (None) of the population probability of A (being a communist).

Profits and Costs of Using Randomized Response Techniques

The advantage of randomized response is that more valid population estimates of sensitive behavior can be derived. The cost is that randomized response is less efficient than a direct question. The randomization procedure increases the sampling variance, which makes it necessary to use larger samples. For example, Warner's method typically needs as many as 10 times the number of respondents to be just as powerful as a direct question design.

Extra costs are also associated with the increased complexity of the randomized response question. When randomized response is used, respondents have to understand and follow the instructions, in addition to understanding and formulating a response to the question itself. This introduces a new source of error, namely, misunderstanding the RRT procedures, cheating on this procedure, or both.

The advantage of using a randomized response technique outweighs the extra costs only when the population estimates become significantly more valid than estimates obtained from direct question-answer designs. Meta-analysis has shown that the advantage of using randomized response outweighs the disadvantage of having to use a larger sample if the social sensitivity of a research topic is large.

Other Randomized Response Techniques

Since Warner's original idea, many adaptations and refinements have been developed. First, methods were developed to improve the power of the design. As previously noted, compared to a direct question, Warner's method typically needs much larger samples. Variations on Warner's original method have been developed that have a larger statistical power. These methods include the unrelated question technique and the forced response technique. In addition, randomized response methods have been developed that are easier for the respondent, such as Kuk's card method and the item count technique.

The Unrelated Question Technique

The unrelated question technique uses a randomization device to direct the respondent to one of two unrelated questions, the sensitive question and an innocuous question, for example:

Do you have (sensitive attribute A)?

Do you have (the nonsensitive attribute B)?

The unrelated question technique is most efficient if the prevalence of the nonsensitive attribute B is known. In that case only one sample is needed to compute the unbiased estimate for the sensitive attribute A. An example of such a nonsensitive question is for instance: Is/was your mother's birthday in July? In this case, a sample of about twice the normal sample size is needed for the question to be as efficient as a direct question.

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