Introduction in survey data analysis

18 important questions on Introduction in survey data analysis

What are the six steps of the survey process?

1. Survey design.
2. Data collection.
3. Data editing.
4. Nonresponse correction.
5. Analysis.
6. Publication.

The first step in the survey proces is the survey design. What are five aspects that have to be addressed in defining a survey design?

1. Specifying the survey objectives: general questions.
2. The exact definition of the population that has to be investigated (the target population).
3. The specification of what has to be measured (the variables) and what has to be estimated (the population characteristics).
4. Where the sample is selected from (the sampling frame).
5. How the sample is selected (the sample design and the sample size).

What are non-observational errors?

Non-observational errors occur when the sample data may not represent the entire population but only a part of it (selection bias).
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What are three categories of non-observational errors?

1. The sampling frame does not correspond correctly to the target population: over or under coverage.
2. Sampling error: since just a part of the population is observed (also known as margin of error).
3. Nonresponse error: answer refusals.

What are four sources of non-observational erros?

Observational errors is a class of errors introduced by..
1. the respondent (e.g. extreme response behaviour: socially desirable response behavior, overreporting/underreporting.
2. the interviewer (can influence respondent's responses)
3. the method of data collection
4. the measurement instrument: questions need to be clear.

Two types of inferences:
1) Of what can the characteristics of a respondent be inferenced?
2) What is inferenced from the characteristics of the sample?

1) The characteristics of a respondent can be inferenced from the respondents answers to the questions.
2) From the characteristics of the sample, the characteristics of the populations are inferenced.

From measurement to representation: What kind of errors can be made in A - G?

A) Validity
B) Measurement error
C) Processing error
D) Coverage error
E) Sampling error
F) Nonresponse error
G) Adjustment error

What is a survey population?

A survey population is a collection of units to make quantitative statements about.

What is a sampling frame?

A sampling frame is a list of all elements in the target population: a set of units with non-zero inclusion (selection) probabilitites.

What is important for a sampling frame?

A sampling frame should be an accurate representation of the population. There is a risk of drawing wrong conclusions from the survey if the sample has been selected from a sampling frame that differs from the population.

What are two possible problems that influence the representability of the sampling frame?

1. Undercoverage: this occurs if the target population contains elements that do not have a counterpart in the sampling frame : If the elements outside the sampling frame systematically differ from the elements in the sampling frame, estimates of population parameters may be seriously biased.
2. Overcoverage: when the sampling frame contains elements that do not belong to the target population. If such elements end up in the sample and their data are used in the analysis, estimates of population parameters may be affected.

When is a sample representative?

A sample is said to be representative with respect to a variable if its relative distribution in the sample is equal to its relative distribution in the population.

What are characteristics of a probability sample?

1. Each population unit (respondent) has a non-zero probability of being selected.
2. The selection probability is known for elements in the sample (validity).
3. Pairs have a non-zero probability of being selected.
4. The selection probability for pairs is known for elements in the sample (accuracy).

What are disadvantages of sampling with replacement compared to sampling without replacement?

Sampling with replacement has lower precision than without replacement.
Sampling with replacement is inconvenient and not the standard.

What are properties of estimators?
Name four properties.

Properties of the estimator are characteristics of the sampling distribution of the estimator.

1. Expectation
2. Variance (precision)
3. Bias
4. Mean squared error.

What is the expectation of an estimator?

The expectation is the (weighted) average of all estimates, given all possible samples.

What is the mean squared error of an estimator?

The mean squared error is the discrepancy between sample relatization and the population value (is the variance of the estimator + the bias of the estimator squared).

How is the sampling design connected to an estimator?

The sampling design influences the properties of the estimator.

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