Fachbuch, 2012
78 Seiten
1.0 Introduction
2.0 Sampling
2.1 Why sampling and not a census?
2.2 Methods of sampling
2.2.1 Random sampling methods
2.2.1.1 Simple random sampling
2.2.1.2 Stratified random sampling
2.2.1.3 Systematic sampling
2.2.1.4 Cluster sampling
2.2.2 Non-random sampling methods
2.2.2.1 Convenience sampling
2.2.2.2 Judgement sampling
2.2.2.3 Quota sampling
2.2.2.4 Snowball sampling
2.3 Sampling errors
2.4 Non-sampling errors
3.0 Data analysis
3.1 Data analysis techniques to explore relationships among variables
3.1.1 Correlation
3.1.2 Partial correlation
3.1.3 Multiple regression
3.1.4 Factor analysis
3.2 Data analysis techniques to compare groups
3.2.1 Non-parametric data analysis techniques
3.2.1.1 Chi-square test for goodness-of-fit
3.2.1.2 Chi-square test for independence
3.2.1.3 Kappa measure of agreement
3.2.1.4 Mann-Whitney U test
3.2.1.5 Kruskal-Wallis test
3.2.2 Parametric data analysis techniques
3.2.2.1 T-tests
3.2.2.2 One-way analysis of variance
3.2.2.3 Two-way between groups analysis of variance
3.2.2.4 Mixed-between-within subjects analysis of variance
3.2.2.5 Multivariate analysis of variance
4.0 Conclusion
This work aims to provide researchers with a comprehensive toolkit for quantitative research, specifically focusing on the systematic selection of sampling methods and the application of appropriate data analysis techniques to obtain reliable findings.
2.2.1.1 Simple random sampling
The most elementary random sampling technique is simple random sampling (Black, Asafu-Adjaye, Khan, Perera, Edwards and Harris, 2009) as it can be viewed as the basis for the other random sampling techniques (Black, 2007). This sampling procedure suggests that each element is chosen randomly and entirely by chance, such that each element has the same probability of being chosen at any stage during the sampling process, and each subset of k individuals has the same probability of being chosen for the sample as any other subset of k individuals (Yates, Moore and Starnes, 2008).
In small populations and often in large ones, such sampling is typically done without replacement, whereby the researcher deliberately avoids choosing any member of the population more than once (Henry, 1990; Jensen, 1978). Although it is possible for simple random sampling to be conducted with replacement, this is less common and would normally be described more fully as simple random sampling with replacement (Henry, 1990). Typically, sampling done without replacement is no longer independent, but still satisfies exchangeability and hence, many of the results still hold (Yates, Moore and Starnes, 2008). Furthermore, for a small sample from a large population, sampling without replacement is approximately the same as sampling with replacement as the odds of choosing the same sample twice is extremely low (Henry, 1990). Nevertheless, researchers should always keep in mind that an unbiased random selection of individuals is essential in the long run so that the sample represents the population as truly as possible (Lohr, 1999) as there can be no guarantee that a particular sample is a perfect representation of the population because it is not a census (Yates, Moore and Starnes, 2008).
1.0 Introduction: Provides an overview of the scope, focusing on sampling methods and quantitative data analysis techniques essential for academic research.
2.0 Sampling: Discusses the fundamentals of sampling, comparing it to a census and detailing various random and non-random methodologies along with potential errors.
3.0 Data analysis: Explores statistical techniques categorized into those examining relationships among variables and those used to compare groups.
4.0 Conclusion: Re-emphasizes the importance of aligning chosen methodologies with specific research objectives and maintaining rigor throughout the process.
Quantitative Research, Sampling Methods, Data Analysis, Random Sampling, Non-random Sampling, Correlation, Multiple Regression, Factor Analysis, Parametric Tests, Non-parametric Tests, Sampling Error, Non-sampling Error, Statistical Significance, SPSS, Research Methodology
This work serves as a practical toolkit for researchers in academia, focusing on guiding the selection of sampling methods and data analysis techniques for quantitative research.
The book covers the transition from population identification and sampling techniques to the execution of data analysis, including both exploration of relationships and group comparisons.
The goal is to assist researchers in overcoming the dilemma of choosing the most suitable combination of methods to project the true state of a researched phenomenon.
The text focuses on quantitative methodology, detailing specific techniques such as random and non-random sampling, correlation analysis, and various parametric and non-parametric statistical tests.
The main sections detail sampling procedures (random vs. non-random), error management (sampling and non-sampling), and advanced statistical analyses available in SPSS for examining variable relationships and group differences.
The work is characterized by its focus on practical applicability, statistical rigor, and the aim to reduce bias through informed selection of methodological approaches.
Stratified random sampling is preferred when a researcher aims to improve representativeness by grouping a population into homogeneous subpopulations (strata) before sampling, which has the potential to reduce sampling error.
A Type I error occurs when a researcher rejects a null hypothesis that is actually true, while a Type II error occurs when a researcher fails to reject a null hypothesis that is actually false.
Factor analysis is a data reduction technique used to summarize a large set of variables into a smaller set of coherent factors, often utilized during the development and evaluation of scales and tests.
Non-parametric tests are generally preferred when the sample size is very small, the data are measured on nominal or ordinal scales, or when the data do not meet the stringent assumptions required for parametric techniques.
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