Questions tagged [survey-sampling]
Creating samples from a well-specified population (human: all adults; registered voters; individuals with diabetes; students of a university; establishment: all firms; firms with employment of 200 or more in New York City; resource: all land of a country or a state/province) using a probabilistic method, with the purpose of inference to that specific population
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What is the (Ratio estimator for the) covariance of two weighted means? [closed]
In a previous question I've asked How to estimate the (approximate) variance of the weighted mean?, specifically, how to prove the following formula:
$$
\widehat{\sigma_{\bar{y}_w}^2} = \frac{1}{(\sum{...
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How is the finite population of unequal sized clusters applied in one-stage sampling?
If clusters vary greatly in size, then it seems that the form $f = (1 - n/N)$ is not always a good choice. Usually in this form $n$ is the number of clusters sampled and $N$ is the pop cluster total.
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Why does the survey package in R and SPSS complex samples add-on give different standard errors?
I was comparing results that I generated in R for complex survey analysis using the survey package to results from SPSS using the complex samples analysis add-on. The sample size is large ~ N=5500
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Question concerning svydesign and svyglm in R
I have a complicated data set which was made by a multistage stratified cluster design. I had originally analysed this using glm, however now realise that I have to use svyglm. I'm not quite sure ...
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Definition of rotated panel sampling
I am doing exercises and I come across a question that asks me to describe sampling with rotated panel.
What does rotated panel sampling mean?
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Can I CUT a sample to become representative?
Suppose that, from a finite population, we estimated the minimum sample size as 1000 to reach our desired confidence level and error.
Data was collected using an online survey and the survey remained ...
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Is it appropriate to pre-stratify and post-stratify along different delineations of the same variables in a single survey?
I am working in the context of opt-in, web-based surveys. Often the desire is for accurate population estimates, and often at a country-wide level. The standard approach at this organization is to ...
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Variable selection in logistic model for complex survey data in R
The dataset I use comes from a one stage proportional stratified design and consists entirely of categorical variables. In order to perform survey sample analyses, I first specify the design using the ...
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Sample size to have same efficiency of mean into SSR
Exercise
Imagine that you need to conduct a survey to assess the degree of students' financial knowledge at the end of their compulsory education. The assessment is done by submitting a questionnaire ...
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How can I show probability of selection change when adding stratification to a survey design
I have a survey that uses a stratified sampling approach with optimal allocation.
The team conducting the survey has asked that we make two changes:
Subdivide one of the strata into smaller pieces. ...
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Degrees of freedom for Two Stage Sampling when sample sizes are small
I am having difficulty to find information to determine the degrees of freedom (t-distribution) to produce a confidence interval for the estimated variance of the mean in a Two Stage Sample (SRSWOR) ...
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Survey with two simple random samples without repetition
I have an particular exercise of sampling survey, or sampling theory, which I report below.
One is interested in knowing the price per gram of gold produced by 100 companies. A monthly survey of a ...
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Population bias in survey leading to inaction
This isn’t exactly an academic statistics question, but it is a real problem that I’m trying to understand with regards to bias in survey statistics leading to issues in real-world decision making.
I’...
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How should I use PPS sampling when calculating a ratio of an auxiliary: Should I sample inverse to my ssu auxillary totals?
I have a one-stage cluster sampling design. So I sample at the "primary sampling unit" (PSU) level but ultimately compute the metric using samples collected within the primary sampling unit.
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Is post-stratification inherently non-Bayesian?
It is increasingly common to employ regression with post-stratification. Since probability-weighting is incoherent in Bayesian inference (thus why sampling/survey weights and weighted psuedo-...
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(i.i.d) Random sampling assumption in practical situations
This is a practical question.
Assume that there are two finite populations X and Y in the real world. For example, we want to compare $\bar{X}$ and $\bar{Y}$. We can use a probability sampling scheme ...
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How to determine weights for weighted average?
I have some survey results where one of the metrics I am evaluating is being looked at on the state-level (i.e. comparing Delaware's average score of 79% to Virginia's average score of 52%). The ...
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When sampling a population for surveys we can often limit our sample size to hundreds, but when doing a Monte Carlo simulation we need way more. Why?
I’m a bit of a stats-noob, so I am not sure I will manage to formulate this question properly, but let me do my best.
I‘m trying to develop an intuition for sample sizes and when they are sufficient ...
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How to interpret this Cumulative distribution function? [closed]
My colleagus has asked me to read through the ETOS material for estimating confidence intervals (published by Statistics Sweden) and point estimates, knowing I have a bachelor's degree in statistics. ...
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How to top-up a panel survey to also get population estimates
I'm running two sequential surveys on the same population, and I have a question about the proper sampling methodology in the second round of a panel that is also meant to get population estimates. I ...
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Analyzing data from a non-randomized sampling design (ecological monitoring)
I have 2 questions about analyzing data that was not randomly sampled from a population.
I work with "ecological monitoring" data that involves repeatedly taking measurements from the same ...
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How do you calculate the total sample size in stratified sampling?
I know that we can allocate observations from the total sample to each strata either using proportional allocation ($n_{h}/N_{h} = n/N$) or optimal allocation:
$$n_{h} = \left [ \frac{\frac{N_{h}S_{h}}...
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How to check the data is generated by machine or human?
I have a bunch of data points (about 300 samples in total), each sample is a number from 1 to 3 (from {1, 2, 3}).
These numbers are supposed to come from a survey. Are there any statistical methods to ...
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Alternatives to Fuller’s (2009) Sampling Statistics
I’m taking a self-study course in sampling statistics this semester and my professor chose Fuller’s (2009) Sampling Statistics for both the content and the homework questions.
However, I am really ...
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Sample size calculation for a difference between two groups with clustered data
I want to compare proportions or means in two groups in a clustered sample. Suppose the sampled clusters are schools or hospitals or Census areas, and we sample from each of these an equal number in ...
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multiple questions about setting up survey weights with the application of a combination of different types of weights - ESS
Checking out this file published by the european social survey website
https://www.europeansocialsurvey.org/docs/methodology/ESS_weighting_data_1.pdf
it states that :
• when analysing data for one ...
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Confusion regarding proof that the variance estimator is unbiased for finite population
Going through Sharon L. Lohr's Sampling design book (2nd Edition), I have no issues with the content all the way until it goes into the proof in chapter 2 on SRSWOR that $E[s^2] = S^2$, where $S^2$ is ...
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Age and sex standardised incidence rates
If I were to compute age-sex standardised incidence rates based on a simple random sample of a nationwide household survey on hearing loss. Noting that this a sample not the total population, so the ...
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Minimum sample size calculations for two-sample two-tailed proportion z test
I'm struggling to reconcile some minimum sample size calculations. I'm seeking a minimum sample size for two-sample two-tailed proportion z test. I set my parameters as follow...
alpha = 0.05
power = ...
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Is the use of approximate MSEs of seperate and combined ratio estimators apt for small sample sizes?
The problem below is from Cochran's Sampling Techniques, chapter 6, titled Ratio Estimators:
The following data are for a small artificial population with $N= 8$ and two strata of equal size.
$ \...
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What sampling approach should I use to characterise groups of different sizes?
Suppose I have a large (~10M) group of games, played by a large (~100K) group of players. Games are 1v1 and scored, so each player has a rating (analogous to chess in these regards; the real dataset ...
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How to validate representativeness of survey on new social group?
Say a new social group X emerges in society. Say you take a sample from individuals in this group X. How to validate the sample's representativeness?
For samples of other parts of society, you have a ...
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How to update survey weights after fixing strata membership/assignments?
Imagine we conduct a survey using stratified sampling, and after the survey closes, we find out that we had misclassified some of the respondents. They actually belong to different strata than we had ...
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Unbiased estimator of population variance for sampling without replacement
What I wrote below only apply to the situation where we have finite population.
I saw many of my friends used sample variance with Bessel's correction $\frac{\sum_i^n (X_i - \bar{X})^2}{n-1}$ to ...
user340483
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How to resample members from the population who didn't respond after the survey?
I have used stratified random sampling on population to generate the sample.
Now the issue is if after the survey is conducted some of the members in the sample ...
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Sampling population to replicate another population
Disclaimer: This question is quite general and I assume there are multiple answers equally valid, and at this point I have no a priori opinion on what is "similar" population so everything ...
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How to check if the sample represents the population data?
The below table is similar to the population
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Why do sampling designs with variable sample size suffer from greater variance of the HT estimator?
I am following the reference Model Assisted Survey Sampling by Särndal. In chapter 3 we are introduced to the Bernoulli sampling and calculate the Horvitz-Thompson for the population total $Y_U$ of ...
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Comparing survey multiple choice survey questions response percentages between a subset's responses and the total collected responses
I have a survey composed of multiple choice questions. Several distinct branches of the same organization responded to the survey. I want to see if the distribution of answers from one branch is ...
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How many sets of variables do I need to assess all pairwise correlations in a planned missing design
I have 54 variables that I need to correlate, but due to constraints I can only put up a maximum of 16 variables at a time for data collection. At the end of the day, I need estimates of the 1,431 ...
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Survey response frequency doesn't match the population distribution
Let's say I ask 1,000 people a survey with 10 questions.
Of these 1,000 people, 50% were men and 50% were women
The number of responses, however, were as follows:
Men: 100 (66.6% of responses)
Women: ...
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Questions on Data Quality Assessment
I have been bumping my head against wall in trying to figure out a good real-world solution for this challenging problem that my friend asked me.
Could you please give some pointers?
Lets say we want ...
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How many variables for a recommender system?
I'm creating a survey for 60 people. I'd like to measure their music, tv-series and purchasing tastes.
The survey will show a number of songs. People will be asked to say if they like it (1) or not (0)...
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Is a "trimmed" simple random sample still a simple random sample?
Suppose I have a population of size N (N is large, say a million), and I take a simple random sample of size 100. Denote the units in the sample as $u_1$, ... $u_{...
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How do you sample without a sampling frame?
I want to research the returns to education in my city as well as assess whether people who have studied abroad on average earn more than those who have studied within the country. The data required ...
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Estimating Population mean given a sample, and the population size
For my study, I have population size known (in order of millions), and a sample data (about 30 sample size). I can estimate population mean using 95% confidence interval by t distribution or normal ...
Ayush Srivastava
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What is the effective sample size in conjoint experiments?
I am running a conjoint forced-choice survey experiment.
The idea is to interview 500 respondents, that will perform 5 choice tasks choosing between 2 profiles. Profiles are fully randomized.
My ...
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How to calculated weighted proportion for a binary variable
I have a dataset with 100 samples of a PPS survey, and the outcome (y) is a binary variable (Y/N). I've calculated the weights for each sample, and I'm wondering how to calculate (formula) the ...
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Nonresponse weight adjustments in multi-stage household surveys
I have a question about nonresponse weighting in complex sample surveys in multi-stage designs, like say, The US National Comorbidity Survey Replication (NCS-R), the Health and Retirement Study (HRS), ...
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Estimating the size of a population. Is the method employed valid?
Context: in North America there has been a Drug Overdose Epidemic for several years. In my own municipality, more people have died of overdose than of COVID during the pandemic.
My workplace (a non ...
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