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CHAPTER 12 EXAMPLES: MONTE CARLO SIMULATION …

Examples: MONTE CARLO SIMULATION Studies 465 CHAPTER 12 EXAMPLES: MONTE CARLO SIMULATION STUDIES MONTE CARLO SIMULATION studies are often used for methodological investigations of the performance of statistical estimators under various conditions. They can also be used to decide on the sample size needed for a study and to determine power (Muth n & Muth n, 2002). MONTE CARLO studies are sometimes referred to as SIMULATION studies. Mplus has extensive MONTE CARLO SIMULATION facilities for both data generation and data analysis. Several types of data can be generated: simple random samples, clustered (multilevel) data, missing data, and data from populations that are observed (multiple groups) or unobserved (latent classes).

The column 3 percentile values are determined from a chi-square distribution with the degrees of freedom given by the model, in this case 5. In this output, the column 1 value of 0.05 gives the probability that the chi-square value exceeds the column 3 percentile value (the critical value of the chi-square distribution) of 11.070.

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  Chapter, Simulation, Example, Probability, Oracl, Monte, Monte carlo simulation

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