Dr. QuantMaster MCP Server

Instructions

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);