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Difficulty: EasyStatistical Inference and Hypothesis Testing

Match each clinical research scenario with the most appropriate statistical test used to analyze the study data.

  • A study comparing the mean reduction in HbA1c levels between a group receiving a novel antidiabetic medication and a group receiving a standard placebo.Two-sample t-test
  • An observational study assessing the association between smoking status (smoker versus non-smoker) and the incidence of deep vein thrombosis (present versus absent).Chi-square test
  • A clinical trial evaluating the differences in mean systolic blood pressure among three distinct dietary intervention groups.Analysis of variance (ANOVA)
  • An investigation analyzing the strength and direction of the linear relationship between maternal age (in years) and infant birth weight (in grams).Pearson correlation coefficient

Answer

L1 pairs with Two-sample t-test; L2 pairs with Chi-square test; L3 pairs with Analysis of variance (ANOVA); L4 pairs with Pearson correlation coefficient.
Statistical test selection relies on identifying the variable types. A t-test compares means between two groups. ANOVA compares means among three or more groups. The Chi-square test evaluates independence between categorical variables. Pearson correlation measures the linear association between two continuous variables.

Step-by-Step Solution

1
Identify the type of the dependent (outcome) variable in each scenario.
HbA1c (continuous), DVT incidence (categorical), systolic blood pressure (continuous), birth weight (continuous).
The nature of the outcome data determines whether to use tests for means (continuous) or tests for proportions/associations (categorical).
2
Identify the type of the independent (predictor) variable and the number of groups being compared.
L1 has 2 categorical groups; L2 has 2 categorical groups; L3 has 3 categorical groups; L4 has a continuous predictor (age).
The combination of dependent and independent variable types dictates the specific statistical test required.
3
Match the variable pairings to the appropriate statistical tests.
Continuous outcome + 2 groups = t-test; Categorical + Categorical = Chi-square; Continuous outcome + >2 groups = ANOVA; Continuous + Continuous = Pearson correlation.
Applying standard statistical test selection criteria guarantees the correct methodological approach.

Key Concept

Selection of the appropriate statistical hypothesis test based on the types of data (continuous vs. categorical) and the number of groups being compared.
Estimated Time:1m 0s
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Topics

Statistical Inference and Hypothesis Testing

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