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Nonresponse Bias

Nonresponse occurs when all the sampling units selected for a sample in a survey are not interviewed. A sampling unit could be an individual, household, business, or other entity being interviewed. The term nonresponse bias refers to the potential bias that can occur in surveys due to nonresponse. Particularly since the start of the 21st century, surveys based on probability samples have been experiencing declining response rates, and therefore nonresponse bias has become a growing concern for surveys in all fields. Nonresponse bias can impact education surveys as well as educational measurement and research based on surveys. If survey participants are systematically different from nonparticipants on measures related to the study, then the accuracy of the estimates, analysis, and inferences from the survey results will be affected. This entry describes the definition, identification, and measurement of nonresponse bias and describes the techniques used to adjust for it. It concludes with a list of resources for further reading on nonresponse bias.

A famous example of nonresponse bias is from the 1936 presidential election in which Democrat Franklin D. Roosevelt and Republican Alfred Landon were the two candidates. The Literary Digest voter survey predicted that Landon would beat Roosevelt. The prediction was based on only 2.4 million responses from a total of 10 million mail-in questionnaires (a 24% response rate). Poll results indicated that Landon would win a majority and Roosevelt was expected to get only 43% of the vote. Actually, Roosevelt won the election with 62% of the vote. Nonresponse bias was one of the reasons for this error because respondents tended to be Landon supporters and nonrespondents tended to support Roosevelt. An additional reason for the error was sampling bias due to the undercoverage of low-income voters who tended to be Democrats.

Defining Nonresponse Bias

Bias is the difference between a survey estimate and the actual value in the target population. There are two components of nonresponse bias associated with an estimate—the amount of nonresponse and the difference in the estimate between the respondents and nonrespondents. The nonresponse bias of the mean can be described by the following expression in which Y is the measure of interest:

Bias=mn(Yr¯Ym¯),

where Bias = the nonresponse bias of the respondent mean; Yr¯ = the mean of the respondents in a sample of the target population; Ym¯ = the mean of the nonrespondents in the target population; m = the number of nonrespondents in the target population; and n = the total number in the target population.

An alternative approach to measuring nonresponse bias considers every potential respondent to have a propensity (or probability) of participation in the survey. Response propensity can be affected by various factors including demographic characteristics, employment status, sponsorship of the survey, or the length (or burden) of the questionnaire.

This propensity of participation is denoted by ρ, and nonresponse bias is expressed as

Bias=σyρ/ρ,

where σyρ is the covariance between the measure (y) and response propensity (ρ), and ρ is the mean response propensity of the sample.

The covariance (σyρ) is the product of the correlation of y and ρ, the standard deviation of y and the standard deviation of ρ. Both definitions of nonresponse bias assume that there is no other source of bias in the measure such as measurement error.

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