edu.uah.math.experiments

Class VarianceEstimateExperiment

java.lang.Object

java.awt.Component

java.awt.Container

java.awt.Panel

java.applet.Applet

javax.swing.JApplet

edu.uah.math.experiments.Experiment

edu.uah.math.experiments.VarianceEstimateExperiment

All Implemented Interfaces:

IExperiment, Pluginable, java.awt.event.ActionListener, java.awt.event.ItemListener, java.awt.event.MouseListener, java.awt.event.MouseMotionListener, java.awt.event.WindowListener, java.awt.image.ImageObserver, java.awt.MenuContainer, java.io.Serializable, java.util.EventListener, javax.accessibility.Accessible, javax.swing.event.ChangeListener, javax.swing.RootPaneContainer

public class VarianceEstimateExperiment
extends Experiment
implements java.io.Serializable

The experiment is to select a random sample of size n from a specified distribution, and then to construct an approximate confidence interval for the standard deviation at a specified confidence level. The distribution can be chosen with a list box; the options are normal, gamma, and uniform. In each case, the appropriate parameters and the sample size can be varied with scroll bars. The density, mean, and standard deviation of the selected distribution are shown in blue in the first graph. The confidence level can be selected from a list box, as can the type of interval--two sided, upper bound, or lower bound. The interval can be constructed assuming either that the distribution mean is known or unknown. In the first case the pivot variable V has the chi-square distribution with degrees of freedom; in the second case the pivot variable V has chi-square distribution with n - 1 degrees of freedom. The density and the critical values of V are shown in blue in the second graph. Variables L and R denote the left and right endpoints of the confidence interval and I indicates the event that the confidence interval contains the distribution mean. The theoretical density of I is shown in blue in the third graph. On each update, the sample density and the confidence interval are shown in red in the first graph, and the value of V is shown in red in the second graph. Note that the confidence interval contains the mean in the first graph if and only if V falls between the critical values in the second graph. The third graph shows the proportion of successes and failures in red. The first table gives the sample values; the second table records L, R, V, and I. Finally, the third table gives the theorectial and empirical densities of I.

Version:

August, 2003

Author:

Kyle Siegrist, Dawn Duehring

See Also:

Serialized Form

Nested Class Summary

Nested classes/interfaces inherited from class javax.swing.JApplet

javax.swing.JApplet.AccessibleJApplet

Nested classes/interfaces inherited from class java.applet.Applet

java.applet.Applet.AccessibleApplet

Nested classes/interfaces inherited from class java.awt.Panel

java.awt.Panel.AccessibleAWTPanel

Nested classes/interfaces inherited from class java.awt.Container

java.awt.Container.AccessibleAWTContainer

Nested classes/interfaces inherited from class java.awt.Component

java.awt.Component.AccessibleAWTComponent, java.awt.Component.BaselineResizeBehavior, java.awt.Component.BltBufferStrategy, java.awt.Component.FlipBufferStrategy

Field Summary

Fields

Modifier and Type	Field and Description
static int	INTERVAL
static int	LOWER_BOUND
static int	UPPER_BOUND

Fields inherited from class edu.uah.math.experiments.Experiment

applet, GREEN, RED, showModelDistribution, stopChoice, stopCount, stopFreq, stopNow, time, timer, toolIndex, updateCount, updateFreq

Fields inherited from class javax.swing.JApplet

accessibleContext, rootPane, rootPaneCheckingEnabled

Fields inherited from class java.awt.Component

BOTTOM_ALIGNMENT, CENTER_ALIGNMENT, LEFT_ALIGNMENT, RIGHT_ALIGNMENT, TOP_ALIGNMENT

Fields inherited from interface java.awt.image.ImageObserver

ABORT, ALLBITS, ERROR, FRAMEBITS, HEIGHT, PROPERTIES, SOMEBITS, WIDTH

Constructor Summary

Constructors

Constructor and Description
VarianceEstimateExperiment()

Method Summary

Methods

Modifier and Type	Method and Description
void	doExperiment() This method defines the experiment.
java.lang.String	getAppletInfo() This method returns basic information about the applet, including copyright information, descriptive information, and instructions.
javax.swing.JTable	getResultTable()
void	graphUpdate()
void	init() This method initializes the experiment, including the record table, the label for the critical values, the sliders that control the parameters of the sampling distribution, the choice box for the type of distribution, the choice box for the type of interval, the choice box for the confidence level, the choice box for mu known or unknown, the toolbar, the estimate graph, the chi-square graph, the success graph, and the success table.
void	itemStateChanged(java.awt.event.ItemEvent e) This method handles the choice events associated with changing distribution type, interval type, confidence level, or the state of knowledge of mu.
void	reset() This method resets the experiment, including the samping and chi-square random variables, the success graph, the sample array, the estimate graph, the chi- square graph,the sample table, the record table, and the success table.
void	setDistribution() This method sets the scrollbars to the appropriate ranges when the distribution type changes.
void	setParameters() This method computes the upper and lower critical values when the distribution or parameters have changed.
void	stateChanged(javax.swing.event.ChangeEvent e) This method handles the scroll events associated with changing the sample size or the distribution parameters.
void	step() This method runs the experiment one time, playing a sound that depends on the outcome.
void	update() This method updates the displays, including the estimate graph, the chi-square graph, the success graph, the sample table, the record table, and the success table.

Methods inherited from class edu.uah.math.experiments.Experiment

actionPerformed, addComponent, addComponent, addComponent, addTool, addToolBar, format, getComponentPanel, getDisplayPane, getMainToolBar, getOnlineDescription, getStopChoice, getStopFreq, getTime, getTimer, getUpdateChoice, initialize, mouseClicked, mouseDragged, mouseEntered, mouseExited, mouseMoved, mousePressed, mouseReleased, playnote, playnote, run, setApplet, setDecimalFormat, setShowModelDistribution, setStopChoice, setStopChoiceTipText, setStopFreq, setStopNow, stop, windowActivated, windowClosed, windowClosing, windowDeactivated, windowDeiconified, windowIconified, windowOpened

Methods inherited from class javax.swing.JApplet

addImpl, createRootPane, getAccessibleContext, getContentPane, getGlassPane, getGraphics, getJMenuBar, getLayeredPane, getRootPane, getTransferHandler, isRootPaneCheckingEnabled, paramString, remove, repaint, setContentPane, setGlassPane, setJMenuBar, setLayeredPane, setLayout, setRootPane, setRootPaneCheckingEnabled, setTransferHandler, update

Methods inherited from class java.applet.Applet

destroy, getAppletContext, getAudioClip, getAudioClip, getCodeBase, getDocumentBase, getImage, getImage, getLocale, getParameter, getParameterInfo, isActive, isValidateRoot, newAudioClip, play, play, resize, resize, setStub, showStatus, start

Methods inherited from class java.awt.Panel

addNotify

Methods inherited from class java.awt.Container

add, add, add, add, add, addContainerListener, addPropertyChangeListener, addPropertyChangeListener, applyComponentOrientation, areFocusTraversalKeysSet, countComponents, deliverEvent, doLayout, findComponentAt, findComponentAt, getAlignmentX, getAlignmentY, getComponent, getComponentAt, getComponentAt, getComponentCount, getComponents, getComponentZOrder, getContainerListeners, getFocusTraversalKeys, getFocusTraversalPolicy, getInsets, getLayout, getListeners, getMaximumSize, getMinimumSize, getMousePosition, getPreferredSize, insets, invalidate, isAncestorOf, isFocusCycleRoot, isFocusCycleRoot, isFocusTraversalPolicyProvider, isFocusTraversalPolicySet, layout, list, list, locate, minimumSize, paint, paintComponents, preferredSize, print, printComponents, processContainerEvent, processEvent, remove, removeAll, removeContainerListener, removeNotify, setComponentZOrder, setFocusCycleRoot, setFocusTraversalKeys, setFocusTraversalPolicy, setFocusTraversalPolicyProvider, setFont, transferFocusDownCycle, validate, validateTree

Methods inherited from class java.awt.Component

action, add, addComponentListener, addFocusListener, addHierarchyBoundsListener, addHierarchyListener, addInputMethodListener, addKeyListener, addMouseListener, addMouseMotionListener, addMouseWheelListener, bounds, checkImage, checkImage, coalesceEvents, contains, contains, createImage, createImage, createVolatileImage, createVolatileImage, disable, disableEvents, dispatchEvent, enable, enable, enableEvents, enableInputMethods, firePropertyChange, firePropertyChange, firePropertyChange, firePropertyChange, firePropertyChange, firePropertyChange, firePropertyChange, firePropertyChange, firePropertyChange, getBackground, getBaseline, getBaselineResizeBehavior, getBounds, getBounds, getColorModel, getComponentListeners, getComponentOrientation, getCursor, getDropTarget, getFocusCycleRootAncestor, getFocusListeners, getFocusTraversalKeysEnabled, getFont, getFontMetrics, getForeground, getGraphicsConfiguration, getHeight, getHierarchyBoundsListeners, getHierarchyListeners, getIgnoreRepaint, getInputContext, getInputMethodListeners, getInputMethodRequests, getKeyListeners, getLocation, getLocation, getLocationOnScreen, getMouseListeners, getMouseMotionListeners, getMousePosition, getMouseWheelListeners, getName, getParent, getPeer, getPropertyChangeListeners, getPropertyChangeListeners, getSize, getSize, getToolkit, getTreeLock, getWidth, getX, getY, gotFocus, handleEvent, hasFocus, hide, imageUpdate, inside, isBackgroundSet, isCursorSet, isDisplayable, isDoubleBuffered, isEnabled, isFocusable, isFocusOwner, isFocusTraversable, isFontSet, isForegroundSet, isLightweight, isMaximumSizeSet, isMinimumSizeSet, isOpaque, isPreferredSizeSet, isShowing, isValid, isVisible, keyDown, keyUp, list, list, list, location, lostFocus, mouseDown, mouseDrag, mouseEnter, mouseExit, mouseMove, mouseUp, move, nextFocus, paintAll, postEvent, prepareImage, prepareImage, printAll, processComponentEvent, processFocusEvent, processHierarchyBoundsEvent, processHierarchyEvent, processInputMethodEvent, processKeyEvent, processMouseEvent, processMouseMotionEvent, processMouseWheelEvent, remove, removeComponentListener, removeFocusListener, removeHierarchyBoundsListener, removeHierarchyListener, removeInputMethodListener, removeKeyListener, removeMouseListener, removeMouseMotionListener, removeMouseWheelListener, removePropertyChangeListener, removePropertyChangeListener, repaint, repaint, repaint, requestFocus, requestFocus, requestFocusInWindow, requestFocusInWindow, reshape, revalidate, setBackground, setBounds, setBounds, setComponentOrientation, setCursor, setDropTarget, setEnabled, setFocusable, setFocusTraversalKeysEnabled, setForeground, setIgnoreRepaint, setLocale, setLocation, setLocation, setMaximumSize, setMinimumSize, setName, setPreferredSize, setSize, setSize, setVisible, show, show, size, toString, transferFocus, transferFocusBackward, transferFocusUpCycle

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Methods inherited from interface edu.ucla.stat.SOCR.core.Pluginable

getName

Field Detail

INTERVAL

public static final int INTERVAL

See Also:

Constant Field Values

LOWER_BOUND

public static final int LOWER_BOUND

See Also:

Constant Field Values

UPPER_BOUND

public static final int UPPER_BOUND

See Also:

Constant Field Values

Constructor Detail

VarianceEstimateExperiment

public VarianceEstimateExperiment()

Method Detail

init

public void init()

This method initializes the experiment, including the record table, the label for the critical values, the sliders that control the parameters of the sampling distribution, the choice box for the type of distribution, the choice box for the type of interval, the choice box for the confidence level, the choice box for mu known or unknown, the toolbar, the estimate graph, the chi-square graph, the success graph, and the success table.

Overrides:

init in class Experiment

getAppletInfo

public java.lang.String getAppletInfo()

This method returns basic information about the applet, including copyright information, descriptive information, and instructions.

Specified by:

getAppletInfo in interface IExperiment

Overrides:

getAppletInfo in class Experiment

Returns:

applet information

reset

public void reset()

This method resets the experiment, including the samping and chi-square random variables, the success graph, the sample array, the estimate graph, the chi- square graph,the sample table, the record table, and the success table.

Specified by:

reset in interface IExperiment

Overrides:

reset in class Experiment

doExperiment

public void doExperiment()

This method defines the experiment. The sample is simulated and the interval estimate computed. The success variable is computed.

Specified by:

doExperiment in interface IExperiment

Overrides:

doExperiment in class Experiment

step

public void step()

This method runs the experiment one time, playing a sound that depends on the outcome.

Specified by:

step in interface IExperiment

Overrides:

step in class Experiment

itemStateChanged

public void itemStateChanged(java.awt.event.ItemEvent e)

This method handles the choice events associated with changing distribution type, interval type, confidence level, or the state of knowledge of mu.

Specified by:

itemStateChanged in interface java.awt.event.ItemListener

Overrides:

itemStateChanged in class Experiment

Parameters:

e - the item event

stateChanged

public void stateChanged(javax.swing.event.ChangeEvent e)

This method handles the scroll events associated with changing the sample size or the distribution parameters.

Specified by:

stateChanged in interface javax.swing.event.ChangeListener

Overrides:

stateChanged in class Experiment

Parameters:

e - the change event

update

public void update()

This method updates the displays, including the estimate graph, the chi-square graph, the success graph, the sample table, the record table, and the success table.

Specified by:

update in interface IExperiment

Overrides:

update in class Experiment

graphUpdate

public void graphUpdate()

Specified by:

graphUpdate in interface IExperiment

Overrides:

graphUpdate in class Experiment

setParameters

public void setParameters()

This method computes the upper and lower critical values when the distribution or parameters have changed.

setDistribution

public void setDistribution()

This method sets the scrollbars to the appropriate ranges when the distribution type changes.

getResultTable

public javax.swing.JTable getResultTable()

Specified by:

getResultTable in interface IExperiment

Overrides:

getResultTable in class Experiment