Multilevel Linear Models (SPSS/Statistics Questions & Answers)

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Multilevel Linear Models,
Everything you need to know about:

  • AIC
  • AICC
  • AR(1)
  • BIC
  • CAIC
  • Centring
  • Diagonal
  • Fixed coefficient
  • Fixed effect
  • Fixed intercept
  • Fixed slope
  • Fixed variable
  • Grand mean centring
  • Group mean centring
  • Growth curve
  • Multilevel linear model
  • Polynomial
  • Random coefficient
  • Random effect
  • Random intercept
  • Random slope
  • Random variable
  • Unstructured
  • Variance components

Quiz (Confidence Interval. Standard Error. t-statistic. z-statistic.)

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  1. A sample of 49 sudden infant death syndrome (SIDS) cases had a mean birth weight of 2998 g. Based on other births in the county, we will assume σ = 800 g. Calculate the 95% confidence interval for the mean birth weight of SIDS cases in the county. Interpret your results.
  2. True or false? Given that a confidence interval for µ is 13 +
  • The value of 13 in this expression is the point estimate.
  • The value 5 in this expression is the estimate’s standard error.
  • The value 5 in this expression is the estimate’s margin of error.
  • The width of the confidence interval is 5.
  1. When do we use a t-statistic instead of a z-statistic to help infer a mean?
  2. Identify whether the studies described here are based on (1) single samples, (2) paired samples, or (3) independent samples.
  • Cardiovascular disease risk factors are compared in husbands and wives
  • A nutritional exam is applied to a random sample of individuals. Results are compared to the results of the whole nation.
  • An investigator compares vaccination histories in 30 autistic schoolchildren to a simple random sample of non-autistic children from the same school district.
  1. Identify two graphical methods that can be used to compare quantitative (continuous) data between two independent groups.
  2. A questionnaire measures an index of risk-taking behavior in respondents. Scores are standardized so that 100 represents the population average. The questionnaire is applied to a sample of teenage boys and girls. The data for boys is {72, 73, 86, 95, 95, 95, 96, 97, 99, 125}. The data for girls is {89, 92, 93, 98, 105, 106, 110, 126, 127, 130}. Explore the group differences with side-by-side boxplots. Create the boxplots and then describe how risk taking behavior varies between genders.
  3. Which study will require a larger sample size, one done with 80% power or 90% power when alpha (type I error) is set at 0.05 and we use the same population and expected difference and variation for both studies?
  4. True or False: When using data from the same sample, the 95% confidence interval for µ will always support the results from a 2-sided, 1 sample t-test.  Explain your reasoning.

Quiz (Confidence Interval. Standard Error. t-statistic. z-statistic.)

/0 Comments/in /by
  1. A sample of 49 sudden infant death syndrome (SIDS) cases had a mean birth weight of 2998 g. Based on other births in the county, we will assume σ = 800 g. Calculate the 95% confidence interval for the mean birth weight of SIDS cases in the county. Interpret your results.
  2. True or false? Given that a confidence interval for µ is 13 +
  • The value of 13 in this expression is the point estimate.
  • The value 5 in this expression is the estimate’s standard error.
  • The value 5 in this expression is the estimate’s margin of error.
  • The width of the confidence interval is 5.
  1. When do we use a t-statistic instead of a z-statistic to help infer a mean?
  2. Identify whether the studies described here are based on (1) single samples, (2) paired samples, or (3) independent samples.
  • Cardiovascular disease risk factors are compared in husbands and wives
  • A nutritional exam is applied to a random sample of individuals. Results are compared to the results of the whole nation.
  • An investigator compares vaccination histories in 30 autistic schoolchildren to a simple random sample of non-autistic children from the same school district.
  1. Identify two graphical methods that can be used to compare quantitative (continuous) data between two independent groups.
  2. A questionnaire measures an index of risk-taking behavior in respondents. Scores are standardized so that 100 represents the population average. The questionnaire is applied to a sample of teenage boys and girls. The data for boys is {72, 73, 86, 95, 95, 95, 96, 97, 99, 125}. The data for girls is {89, 92, 93, 98, 105, 106, 110, 126, 127, 130}. Explore the group differences with side-by-side boxplots. Create the boxplots and then describe how risk taking behavior varies between genders.
  3. Which study will require a larger sample size, one done with 80% power or 90% power when alpha (type I error) is set at 0.05 and we use the same population and expected difference and variation for both studies?
  4. True or False: When using data from the same sample, the 95% confidence interval for µ will always support the results from a 2-sided, 1 sample t-test.  Explain your reasoning.