S.IC.2: Assessing Model Consistency with Data-Generating Process through Simulation

Grade: Statistics & Probability

Domain: IC: Making Inferences and Justifying Conclusions

Standard Description

Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. For example, a model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model?

Domain Description

Grasp statistics by making conclusions about large groups using a random sample. Assess if a model aligns with the outcomes from a particular process, like questioning a model when a coin lands on tails five times consecutively.

Understand the roles and variances among surveys, experiments, and observational studies, and how randomness contributes to each. Utilize information from a sample survey to estimate large-scale averages or ratios, and generate a error range using simulation models for random sampling.

Employ data from a randomized experiment to contrast two methods; use simulations to determine if variances between parameters are substantial. Critically assess reports based on data.