edu.uah.math.experiments

Class VarianceTestExperiment

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.VarianceTestExperiment

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 VarianceTestExperiment
extends Experiment
implements java.io.Serializable

This class models the hypothesis testing experiment for the variance in the standard normal model. The experiment is to select a random sample of size n from a selected distribution and then test a hypothesis about the standard deviation d at a specified significance level. The distribution can be selected from a list box; the options are the normal, gamma, and uniform distributions. In each case, the appropriate parameters and the sample size n can be varied with scroll bars. The significance level can be selected with a list box, as can the type of test: two-sided, left-sided, or right-sided. The boundary point d0 between the null and alternative hypotheses can be varied with a scroll bar. The density of the distribution, as well as m and d, are shown in blue in the first graph; d0 is shown in green. The test can be constructed uder the assumption that the distribution mean is known or unknown. In the first case, the test statistic has the chi-square distribution with n degrees of freedom; in the second case the test statistics has the chi-square distribution with n - 1 degrees of freedom. The density and the critical values of the test statistic V are shown in the second graph in blue. On each update, the sample density is shown in red in the first graph and the sample values are recorded in the first table. The sample standard deviation S is shown in red in the first graph and the value of the test statistic V is shown in red in the second graph. The variable I indicates the event that the null hypothesis is rejected. On each update, S^2, V, and I are recorded in the second table. Note that the null hypothesis is reject (I = 1) if and only if the test statistic V falls outside of the critical values. Finally, the empirical density of I is shown in red in the last graph and recorded in the last table.

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	LEFT
static int	RIGHT
static int	TWO_SIDED

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
VarianceTestExperiment()

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 for adjusting the parameters of the sampling distribution, the graph and table for the reject random variable, the choice box for the type of sampling distribution, the choice box for the type of text, the choice box for the significance level, the choice box for mu known or unknown, the toolbar, the test graph and chi-square graph, and the sample table.
void	itemStateChanged(java.awt.event.ItemEvent e) This method handles the choice events associated with a change of distribution type, test type, significance level, or state of knowledge of mu.
void	reset() This method resets the experiment, including the sampling, chi-square, and reject random variables, , the sample array, the test graph, the chi-square graph, the reject graph, the sample table, the record table, and the reject table.
void	setDistribution() This method sets up the scroll bars and graphs when the type of distribution changes.
void	setParameters() This method computes the upper and lower critical values and sets up the graphs when the distribution changes.
void	stateChanged(javax.swing.event.ChangeEvent e) This method handles the scroll events associated with a change in sample size or a change in the parameters of the distribution.
void	step() This method runs the experiment one time, playing a sound that depends on the outcome.
void	update() This method updates the display, including the test, chi square and reject graphs, and the sample, record and reject tables.

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

TWO_SIDED

public static final int TWO_SIDED

See Also:

Constant Field Values

LEFT

public static final int LEFT

See Also:

Constant Field Values

RIGHT

public static final int RIGHT

See Also:

Constant Field Values

Constructor Detail

VarianceTestExperiment

public VarianceTestExperiment()

Method Detail

init

public void init()

This method initializes the experiment, including the record table, the label for the critical values, the sliders for adjusting the parameters of the sampling distribution, the graph and table for the reject random variable, the choice box for the type of sampling distribution, the choice box for the type of text, the choice box for the significance level, the choice box for mu known or unknown, the toolbar, the test graph and chi-square graph, and the sample 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 sampling, chi-square, and reject random variables, , the sample array, the test graph, the chi-square graph, the reject graph, the sample table, the record table, and the reject 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 test statistic computed. The test is performed and the reject variable updated.

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 a change of distribution type, test type, significance level, or 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 a change in sample size or a change in the parameters of the distribution.

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 display, including the test, chi square and reject graphs, and the sample, record and reject tables.

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 and sets up the graphs when the distribution changes.

setDistribution

public void setDistribution()

This method sets up the scroll bars and graphs when the type of distribution changes.

getResultTable

public javax.swing.JTable getResultTable()

Specified by:

getResultTable in interface IExperiment

Overrides:

getResultTable in class Experiment