get_formula
Retrieve statistical formulas and LaTeX notation for quantitative research concepts like OLS estimators, DID models, and hypothesis tests.
Instructions
통계 수식 및 LaTeX 표기법 제공
Input Schema
TableJSON Schema
| Name | Required | Description | Default |
|---|---|---|---|
| concept | Yes | 개념 (예: ols_estimator, did_att, hausman_test) | |
| format | No | 출력 형식 |
Implementation Reference
- src/tools/index.ts:1106-1142 (handler)The main handler function for the 'get_formula' tool. It retrieves predefined statistical formulas in LaTeX and/or text format based on the input 'concept' (e.g., 'ols_estimator', 'did_att'). Returns the formula or an error if not found.function handleGetFormula(args: Record<string, unknown>) { const concept = args.concept as string; const format = (args.format as string) || "both"; const formulas: Record<string, any> = { ols_estimator: { latex: "\\hat{\\beta} = (X'X)^{-1}X'Y", text: "β̂ = (X'X)⁻¹X'Y" }, did_att: { latex: "\\text{ATT} = (\\bar{Y}_{T,post} - \\bar{Y}_{T,pre}) - (\\bar{Y}_{C,post} - \\bar{Y}_{C,pre})", text: "ATT = (Ȳ_T,post - Ȳ_T,pre) - (Ȳ_C,post - Ȳ_C,pre)" }, hausman_test: { latex: "H = (\\hat{\\beta}_{FE} - \\hat{\\beta}_{RE})'[Var(\\hat{\\beta}_{FE}) - Var(\\hat{\\beta}_{RE})]^{-1}(\\hat{\\beta}_{FE} - \\hat{\\beta}_{RE})", text: "H = (β̂_FE - β̂_RE)'[Var(β̂_FE) - Var(β̂_RE)]⁻¹(β̂_FE - β̂_RE) ~ χ²(k)" }, cohens_d: { latex: "d = \\frac{\\bar{X}_1 - \\bar{X}_2}{S_{pooled}}", text: "d = (X̄₁ - X̄₂) / S_pooled" }, r_squared: { latex: "R^2 = 1 - \\frac{SS_{res}}{SS_{tot}} = 1 - \\frac{\\sum(y_i - \\hat{y}_i)^2}{\\sum(y_i - \\bar{y})^2}", text: "R² = 1 - (SS_res / SS_tot)" } }; const formula = formulas[concept.toLowerCase()]; if (!formula) { return { concept, error: "Formula not found. Try: ols_estimator, did_att, hausman_test, cohens_d, r_squared" }; } if (format === "latex") return { concept, latex: formula.latex }; if (format === "text") return { concept, text: formula.text }; return { concept, ...formula }; }
- src/tools/index.ts:94-104 (schema)The input schema definition for the 'get_formula' tool, specifying the expected parameters: 'concept' (required string) and optional 'format' (latex, text, or both).name: "get_formula", description: "통계 수식 및 LaTeX 표기법 제공", inputSchema: { type: "object", properties: { concept: { type: "string", description: "개념 (예: ols_estimator, did_att, hausman_test)" }, format: { type: "string", enum: ["latex", "text", "both"], description: "출력 형식" }, }, required: ["concept"], }, },
- src/tools/index.ts:790-791 (registration)The switch case in handleToolCall that registers and routes calls to the 'get_formula' handler function.case "get_formula": return handleGetFormula(args);