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More on Random Digit Dialing. By mid-2017, about \(53.9 \%\) of adults lived in households with a cell phone and no landline phone. Among adults aged 25-29, this percentage was about \(73.3 \%\), while among adults over 65 , the percentage was only \(23.9 \% .\) a. Write a survey question for which the opinions of adults with landline phones only are likely to differ from the opinions of adults with cell phones only. Give the direction of the difference of opinion. b. For the survey question in part (a), suppose a survey were conducted using random digit dialing of landline phones only. Would the results be biased? What would be the direction of bias? c. Most surveys now supplement the landline sample contacted by RDD with a second sample of respondents reached through random dialing of cell phone numbers. The landline respondents are weighted to take account of household size and number of telephone lines into the residence, whereas the cell phone respondents are weighted according to whether they were reachable only by cell phone or also by landline. Explain why it is important to include both a landline sample and a cell phone sample. Why is the number of telephone lines into the residence important? (Hint: How does the number of telephone lines into the residence affect the chance of the household being included in the RDD sample?)

Step by step solution

01

Formulate a Survey Question

For part (a), consider societal or technological issue preferences which often vary by age or access to technology. A potential survey question could be: "How important is it to have emerging technologies (5G, smart home devices) integrated into everyday life?" Typically, younger adults, like those with cell phones only, are more inclined to favor technological integration compared to older adults with landlines only.

02

Identify Opinion Direction

Cell phone-only adults, especially younger individuals, are likely more in favor of its importance than those with landlines only, often older adults. This difference reflects a generational divide where younger people tend to be more accepting of new technologies.

03

Evaluate Survey Result Bias

For part (b), if the survey is conducted using random digit dialing of landlines only, the opinions gathered would not accurately represent cell phone-only users. This would introduce a bias in the results towards the views of older and possibly more traditional respondents, making the results less favorable towards the importance of technological integration.

04

Determine the Direction of Bias

The direction of bias in this scenario would likely underrate the importance of emerging technologies. This is because landline-only respondents are less likely to perceive new technologies as essential compared to cell phone-only users.

05

Justify Mixing Landline and Cell Phone Samples

For part (c), including both landline and cell phone samples ensures a broader representation of the adult population, addressing age divide in phone usage. Differentiate within participants based on phone number access to ensure equal probability of inclusion, thus avoiding over-representation or under-representation based on access.

06

Explain Importance of Telephone Lines Count

The number of telephone lines in a household affects inclusion probability in RDD. If a household has multiple lines, it may be overrepresented since each line increases chances of selection. Counteracting this with weighting ensures each household has equal sampling chance, regardless of line count.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Random Digit Dialing

Random Digit Dialing (RDD) is a survey technique used to randomly select telephone numbers for conducting surveys. This method helps in reaching diverse groups of people across different demographics. Here's how it works.

The process involves dialing random combinations of numbers within a predefined range to maximize randomness. This can include both landline and cell phone numbers, but traditionally it has been used with landlines. By pretending that every number has an equal chance of being dialed, RDD seeks to create a sample that accurately reflects the target population's diversity and traits.

However, it's crucial to recognize some limitations. For instance, if RDD focuses only on landline numbers, it might miss a significant segment of the population who only use cell phones, thereby introducing potential bias.

Landline vs Cell Phone Respondents

The distinction between landline and cell phone respondents is critical in survey methodologies today. With changing communication patterns, survey designers must consider differences between these groups.

Many individuals, especially younger ones, rely solely on cell phones. This shift means surveys focusing only on landlines can miss younger individuals who cut the cord from landlines to embrace mobile technology. This contributes to a gap in capturing opinions that may skew survey results if not adjusted.

Therefore, it is essential to include both groups in a survey to get a well-rounded view. By doing so, surveys can better capture the diverse perspectives across age groups and address the evolving nature of telephone usage in different demographics.

Survey Bias

Survey bias occurs when certain groups or opinions are overrepresented or underrepresented in survey results. This can lead to distorted conclusions about the population's views. Survey bias can creep in if certain segments of the population are inadvertently excluded.

For example, if a survey only uses RDD targeting landline numbers, it may skew results towards older demographics, who are more likely to maintain landlines. These respondents might have different views compared to the younger, mobile-only population.

To counteract survey bias, survey designers may need to adjust the sample by including multiple methodologies, such as supplementary cell phone samples. Weighting strategies can also help balance the results by giving more accurate representation to underrepresented groups.

Sampling Representation

Sampling representation is a key goal in survey design, ensuring that the collected data accurately reflects the larger population's characteristics. Achieving this involves considering both who is surveyed and how they are selected.

To enhance sampling representation, surveys often combine samples from both landline and cell phones. This helps cover a more comprehensive audience that includes different age groups and technology adapters. It is important because people's access to technology can affect their views on various issues.

Another aspect to consider is the number of telephone lines in a household. More lines may mean more chances for a household to be selected, potentially overrepresenting it. Weighting adjusts for this by ensuring each household holds an equal chance of appearing in the sample, leading to more balanced representation across all households.