a. Main causal contrast of the theory
The frequency of Alzheimer’s disease in persons exposed to high sugar consumption is greater than frequency of Alzheimer’ disease in persons exposed to high sugar consumption if they had not been exposed.
b. Hypotheses in operationalized form
HYPOTHESIS 1: High sugar intake (E) causes Alzheimer’s disease (D) beyond chance. (Main Effect and its magnitude)
HYPOTHESIS 2: Chronic stress is an alternative explanation for the association between high sugar intake and Alzheimer's disease. (Confounding)
HYPOTHESIS 3: High sugar intake leads to diabetes, a major contributor to Alzheimer’s disease. (Mediation)
HYPOTHESIS 4: The relationship between high sugar intake and Alzheimer's disease is particularly apparent among those with a family history of Alzheimer's disease. (Effect Modification)
c. DAG
d. Causal pies for main effect: Where X is unknown.
e. Response types for main effect Type 1 – Doomed; Type 2 – Causal
f. Results that would be consistent with each hypothesis
HYPOTHESIS 1: HYPOTHESIS 2: HYPOTHESIS 3: HYPOTHESIS 4:
2. TRUTH (DR. MEDITATIVE'S "STUDY") DATA IN TABLE 1
a. Test of each hypothesis: ANALYSIS FOR HYPOTHESIS 1: Testing for Association | Alzheimer's disease (D+) | No Alzheimer's disease (D-) | High Sugar Intake (E+) | 56,312 + 33,456 =89,768 | 428,431 + 80,249 =508,680 | No High Sugar Intake (E-) | 9,355 + 13,386 =22741 | 124,298 + 251,926 =376,224 |
OR = [(PrD+|E+)/(PrD-|E+)]/[(PrD+|E-)/(PrD-|E-)] = (ad)/(bc) = [(89,768)(376,224)]/[508,680)(22,741)] ≈ 2.92 Find the Confidence Interval:
Step 1. Variance for the natural log of the OR: 1/a + 1/b + 1/c + 1/d = (1/89,768) + (1/508,680) + (1/22,741) + (1/376,224) = 0.0000597371305904 Step