改进的日志比率校准方法用于分层差异估计在调查采样
Azam Zaka1, Fatimah M Alghamdi2, Sara M A Alsheikh3
1Department of Statistics, Government Graduate College of Science, Wahdat Road, Lahore, Pakistan.
Scientific reports
|December 1, 2025
概括
本研究引入了对分层随机抽样中人口变异的新校准日志比率估计器. 这些改进的方法减少了平均平方误差,提高了调查数据分析的准确性.
科学领域:
- 统计 统计 统计 统计
- 调查方法 调查方法
背景情况:
- 分层随机抽样对于准确的人口估计至关重要,通过将数据划分为子组.
- 估计人口变异的现有方法可能无法充分利用分层的好处.
研究的目的:
- 开发和评估人口变异的新型校准日志比率类型估计器.
- 将这些新估计器的性能与使用平均平方误差的现有方法进行比较.
主要方法:
- 建议一组改进的校准日志比率类型估计器.
- 进行模拟研究以评估估计器效率.
- 将估计器应用于现实数据集以进行验证.
主要成果:
- 拟议的校准日志比差异估计器表现出卓越的性能.
- 与现有技术相比,新的估计器实现了较低的平均平方误差.
- 模拟和现实应用结果证实了提高效率.
结论:
- 开发的校准日志比率估计器为分层采样中差异估计提供了显著的改进.
- 这些估计器提高了调查数据分析的精度和准确性.
- 这些发现支持在统计实践中采用这些先进方法.
相关概念视频
Stratified Sampling Method
14.4K
Sampling is a technique to select a portion (or subset) of the larger population and study that portion (the sample) to gain information about the population. The sampling method ensures that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest.
To choose a stratified sample, divide the population into groups called strata and then take a...
To choose a stratified sample, divide the population into groups called strata and then take a...
14.4K
Estimating Population Mean with Known Standard Deviation
9.6K
To construct a confidence interval for a single unknown population mean μ, where the population standard deviation is known, we need sample mean as an estimate for μ and we need the margin of error. Here, the margin of error (EBM) is called the error bound for a population mean (abbreviated EBM). The sample mean is the point estimate of the unknown population mean μ.
The confidence interval estimate will have the form as follows:
(point estimate - error bound, point estimate +...
The confidence interval estimate will have the form as follows:
(point estimate - error bound, point estimate +...
9.6K
Ratio Level of Measurement
20.5K
The way a set of data is measured is called its level of measurement. Correct statistical procedures depend on a researcher being familiar with levels of measurement. For analysis, data are classified into four levels of measurement—nominal, ordinal, interval, and ratio.
A set of data measured using the ratio scale takes care of the ratio problem and provides complete information. Ratio scale data are like interval scale data, except they have a zero point and ratios can be calculated....
A set of data measured using the ratio scale takes care of the ratio problem and provides complete information. Ratio scale data are like interval scale data, except they have a zero point and ratios can be calculated....
20.5K
Calibration Curves: Linear Least Squares
4.0K
A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
For data that follow a straight line, the standard method for fitting is the linear...
For data that follow a straight line, the standard method for fitting is the linear...
4.0K
Testing a Claim about Standard Deviation
2.9K
A complete procedure to test a claim about population standard deviation or population variance is explained here.
The hypothesis testing for the claim of population standard deviation (or variance) requires the data and samples to be random and unbiased. The population distribution also must be normal. There is no specific requirement on the sample size as the estimation is based on the chi-square distribution.
As a first step, the hypothesis (null and alternative) concerning the claim about...
The hypothesis testing for the claim of population standard deviation (or variance) requires the data and samples to be random and unbiased. The population distribution also must be normal. There is no specific requirement on the sample size as the estimation is based on the chi-square distribution.
As a first step, the hypothesis (null and alternative) concerning the claim about...
2.9K
One-Way ANOVA: Equal Sample Sizes
4.0K
One-Way ANOVA can be performed on three or more samples with equal or unequal sample sizes. When one-way ANOVA is performed on two datasets with samples of equal sizes, it can be easily observed that the computed F statistic is highly sensitive to the sample mean.
Different sample means can result in different values for the variance estimate: variance between samples. This is because the variance between samples is calculated as the product of the sample size and the variance between the...
Different sample means can result in different values for the variance estimate: variance between samples. This is because the variance between samples is calculated as the product of the sample size and the variance between the...
4.0K


