1) There are various approaches to determining sample size including heuristics, literature review, formulas, and power analysis. Formulas like Slovin's are commonly used to calculate sample size based on population size and desired confidence level.
2) There are different types of probability sampling used in quantitative research including simple random sampling, stratified random sampling, cluster sampling, and systematic sampling.
3) Validity and reliability are important aspects of research instruments. Validity determines if an instrument measures what it intends to measure through various types like face validity and content validity. Reliability refers to an instrument's consistency and can be tested through methods like test-retest reliability.