Get Measure Using Item IDs with Results and Prior Student Information

Overview

This Bayesian function should be used when:
  • There is prior information about a student. For example, a previously-computed ability with uncertainty and number of days since that assessment elapsedDays.
  • The student has taken some number of items, each represented by an item ID.
  • The item responses (correct/incorrect) for each item are known.

URL

POST /api/score/items/idsWithResults/bayes

Request

The following parameters are required in the request. An example is provided in the Code Example section.

Parameter Type Description
priorAbility

Integer

The student’s prior ability estimate.

priorUncertainty

Integer

Uncertainty associated with the student’s prior ability estimate.

elapsedDays

Integer

Number of days since the student’s measure was last updated.
items

Array

Array of item objects. Each item object is a dictionary with required parameters:
  • itemid

    String

    ID of item used in the request body. Must have a prefix of “Q”, “L”, or “S”. MetaMetrics will provide these IDs.

  • results

    String

    Item response results: 0 (incorrect) or 1 (correct).

Response

This returns an object that contains the computed ability and uncertainty. See Scoring Service Response Codes for an explanation of error codes that might be returned.

Parameter Type Description
ability

Integer

The student’s new ability estimate.

uncertainty

Integer

Uncertainty associated with the student’s new ability estimate.

framework String Either Lexile or Quantile Framework used to produce the measure.
apiVersion String The current version number for the API.

Code Examples

The following show examples of the request followed by the response. The Python example is written for use with Python 3 and above.

import java.io.BufferedReader;
                   import java.io.IOException;
                   import java.io.InputStreamReader;
                   import java.util.HashMap;
                   import java.util.List;
                   import java.util.ArrayList;
                   import java.util.Arrays;
                   import java.util.Map;
                   import org.apache.http.HttpHeaders;
                   import org.apache.http.HttpResponse;
                   import org.apache.http.client.HttpClient;
                   import org.apache.http.client.methods.HttpPost;
                   import org.apache.http.entity.StringEntity;
                   import org.apache.http.impl.client.HttpClientBuilder;
                   
                   import org.json.JSONObject;
                   
                   
                   public class BayesItemIdWithResults {
                   public static void main( String[] args )
                   {
                   try
                   {
                   // Call 7
                   
                   String baseURL = "https://scoring.lexile.com";
                   String clientId = "your_client_id";
                   String clientSecret = "your_client_secret";
                   
                   HttpClient client = HttpClientBuilder.create().build();
                   HttpPost authPost = new HttpPost(baseURL + "/authToken");
                   JSONObject jsonInput = new JSONObject();
                   jsonInput.put("clientId", clientId);
                   jsonInput.put("clientSecret", clientSecret);
                   StringEntity input = new StringEntity(jsonInput.toString());
                   authPost.setEntity(input);
                   authPost.setHeader(HttpHeaders.CONTENT_TYPE, "application/json");
                   HttpResponse response = client.execute(authPost); 
                   StringBuilder stringBuilder = new StringBuilder();
                   BufferedReader rd = new BufferedReader(new InputStreamReader(response.getEntity().getContent()));
                   String line;
                   while ((line = rd.readLine()) != null) 
                   {
                   stringBuilder.append(line);
                   }
                   JSONObject json = new JSONObject(stringBuilder.toString());
                   String token = (String) json.get("accessToken");
                   Integer expires = (Integer) json.get("expiresIn");
                   
                   
                   // 1) Basic Example
                   
                   HttpPost postItemId = new HttpPost(baseURL + "/api/score/items/idsWithResults/bayes");
                   JSONObject postData = new JSONObject();
                   postData.put("numberCorrect", 2);
                   postData.put("framework", "quantile");
                   postData.put("priorAbility", 500);
                   postData.put("priorUncertainty", 100);
                   postData.put("elapsedDays", 50);
                   
                   JSONArray itemList = new JSONArray();
                   JSONObject item = new JSONObject();
                   item.put("id","L17075");
                   item.put("result", 0);
                   itemList.put(item);
                   JSONObject item2 = new JSONObject();
                   item2.put("id","L17076");
                   item2.put("result", 1);
                   itemList.put(item2);
                   JSONObject item3 = new JSONObject();
                   item3.put("id","L17078");
                   item3.put("result", 1);
                   itemList.put(item3);
                   postData.put("items", itemList);
                   
                   StringEntity itemIdInput = new StringEntity(postData.toString());
                   input.setContentType("application/json");
                   postItemId.setEntity(itemIdInput);
                   postItemId.setHeader(HttpHeaders.AUTHORIZATION, "Bearer " + token);
                   postItemId.setHeader(HttpHeaders.CONTENT_TYPE, "application/json");
                   response = client.execute(postItemId); 
                   stringBuilder = new StringBuilder();
                   rd = new BufferedReader(new InputStreamReader(response.getEntity().getContent()));
                   while ((line = rd.readLine()) != null) 
                   {
                   stringBuilder.append(line);
                   }
                   JSONObject output = new JSONObject(stringBuilder.toString());
                   Integer ability = (Integer) output.get("ability");
                   Integer uncertainty = (Integer) output.get("uncertainty");
                   String framework = (String) output.get("framework");
                   String apiVersion = (String) output.get("apiVersion");
                   }
                   catch(IOException e) 
                   {
                   e.printStackTrace();
                   }
                   }
                   }
                   
                   //System.out.println(stringBuilder.toString());
# Call 7
                       
                       # /authToken
                       
                       import requests
                       import json
                       
                       base_url = "https://scoring.lexile.com"
                       client_id = "your_client_id"  # replace with your provided client ID
                       client_secret = "your_client_secret"  # replace with your provided client secret
                       response = requests.post(
                       f"{base_url}/authToken",
                       data={"clientId": client_id, "clientSecret": client_secret},
                       )
                       access_token = response.json()["accessToken"]  # use in Authorization header
                       
                       # use these headers to make requests
                       headers = {
                       "Authorization": f"Bearer {access_token}",
                       "Content-Type": "application/json",
                       }
                       
                       
                       # /api/score/items/idsWithResults/bayes
                       
                       # 1) Basic Example
                       data = {
                       "priorAbility": 500,
                       "priorUncertainty": 100,
                       "elapsedDays": 15,
                       "framework": "lexile",
                       "items": [
                       {"id": "L17075", "result": 0},
                       {"id": "L17076", "result": 1},
                       {"id": "L17078", "result": 1},
                       ],
                       }
                       response = requests.post(
                       f"{base_url}/api/score/items/idsWithResults/bayes", headers=headers, json=data
                       )
                       response.json()
                       # returns
                       # {
                       #    "ability": <int>,
                       #    "uncertainty": <int>
                       #    "framework": ["lexile", "quantile"]
                       #    "apiVersion": <string>
                       # }