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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.microflex.doubleflex.stat;

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

import java.util.List;

/**
 * This class calculates the pth central moment for double 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 CentralMomentDouble extends QuantileStatisticDouble { /* ------ Methods for calculating the central moment of a data set ----- */ /** * Calculates the pth central moment. * @param List the list * @param int pth central moment * @return the result */ public double calculate(List list, int p) { int n = list.size(); double mean = 0.0; for(Double db : list) { mean += db; } mean = mean / n; double result = 0; for(Double db : list) { result += Math.pow(db - mean, p); } return result / n; }; /** * Calculates the pth central moment using the values between the beginning * and ending indices. * @param List the list * @param int beginning index of subset * @param int length of subset * @param int pth central moment * @return the result */ public double calculate(List list, int begin, int length, int p) { return this.calculate(list.subList(begin, begin + length), p); }; }




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