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/**
 * Licensed to the Apache Software Foundation (ASF) under one
 * or more contributor license agreements.  See the NOTICE file
 * distributed with this work for additional information
 * regarding copyright ownership.  The ASF licenses this file
 * to you under the Apache License, Version 2.0 (the
 * "License"); you may not use this file except in compliance
 * with the License.  You may obtain a copy of the License at
 *
 *   http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing,
 * software distributed under the License is distributed on an
 * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
 * KIND, either express or implied.  See the License for the
 * specific language governing permissions and limitations
 * under the License.
 */

/* --------------------------------- Package -------------------------------- */

package com.github.jessemull.microflexbiginteger.stat;

/* ------------------------------ Dependencies ------------------------------ */

import java.math.BigDecimal;
import java.math.MathContext;
import java.util.ArrayList;
import java.util.Collections;
import java.util.List;

/**
 * This class returns the quartiles for big integer plate stacks, plates, wells 
 * and well sets.
 * 
 * 

* * Statistical operations can be performed on stacks, plates, sets and wells using * standard or aggregated functions. Standard functions calculate the desired * statistic for each well in the stack, plate or set. Aggregated functions aggregate * the values from all the wells in the stack, plate or set and perform the statistical * operation on the aggregated values. Both standard and aggregated functions can * be performed on a subset of data within the stack, plate, set or well. * *

* * The methods within the MicroFlex library are meant to be flexible and the * descriptive statistic object supports operations using a single stack, plate, * set or well as well as collections and arrays of stacks, plates, sets or wells. * * * * * * * * * * * * * * * * * * *
Operation
Beginning
Index
Length of
Subset
Input/Output
* * * * *
Standard
*
* * * * *
+/-
*
* * * * *
+/-
*
* * * * * * * *
Accepts a single well, set, plate or stack as input
Calculates the statistic for each well in a well, set, plate or stack
*
* * * * *
Aggregated
*
* * * * *
+/-
*
* * * * *
+/-
*
* * * * * * * *
Accepts a single well/set/plate/stack or a collection/array of wells/sets/plates/stacks as input
Aggregates the data from all the wells in a well/set/plate/stack and calculates the statistic using the aggregated data
*
* * @author Jesse L. Mull * @update Updated Oct 18, 2016 * @address http://www.jessemull.com * @email [email protected] */ public class Quartiles extends DescriptiveStatisticListContext { /** * Returns the quartiles for the data set. * @param List the list * @param MathContext the math context * @return the result */ public List calculate(List list, MathContext mc) { List result = new ArrayList(); result.add(this.percentile(list, 25)); result.add(this.percentile(list, 50)); result.add(this.percentile(list, 75)); return result; } /** * Returns the quartiles for the data set using the values between the indices. * @param List the list * @param int beginning index of subset * @param int length of subset * @param MathContext the math context * @return the result */ public List calculate(List list, int begin, int length, MathContext mc) { return calculate(list.subList(begin, begin + length), mc); } /** * Returns the percentile for the data set. * @param List list the input list * @param int the percentile * @return the result */ private BigDecimal percentile(List list, int p) { int n = list.size(); if(n == 1) { return list.get(0); } Collections.sort(list); double pos = (p * (n + 1)) / 100.0; if(pos < 1) { return list.get(0); } if(pos >= n) { return list.get(list.size() - 1); } if(pos == Math.floor(pos) && !Double.isInfinite(pos)) { return list.get((int) pos - 1); } int lowerIndex = (int) Math.floor(pos) - 1; int upperIndex = lowerIndex + 1; BigDecimal lower = list.get(lowerIndex); BigDecimal upper = list.get(upperIndex); BigDecimal d = new BigDecimal((pos - 1 - lowerIndex) + ""); return upper.subtract(lower).multiply(d).add(lower); } }




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