document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=875154>Question 875154</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This problem will introduce the learner into a technique called Analysis of Variance.  For this course we will only conduct a simple One-Way ANOVA and touch briefly on the important elements of this technique.  The One-Way ANOVA is an extension of the independent –t test that can only look at two independent sample means.  We can use the One-Way ANOVA to look at three or more independent sample means.  Use the following data to conduct a One-Way ANOVA:\r<BR>\n" );
document.write( "\n" );
document.write( "Scores 		Group<BR>\n" );
document.write( "1		1<BR>\n" );
document.write( "2		1<BR>\n" );
document.write( "3		1<BR>\n" );
document.write( "2		2<BR>\n" );
document.write( "3		2<BR>\n" );
document.write( "4		2<BR>\n" );
document.write( "4		3<BR>\n" );
document.write( "5		3<BR>\n" );
document.write( "6		3\r<BR>\n" );
document.write( "\n" );
document.write( "Notice the group (grouping) variable, which is the independent variable or factor is made up of three different groups.  The scores are the dependent variable.  \r<BR>\n" );
document.write( "\n" );
document.write( "Use the instructions for conduction an ANOVA on page 366 of the text for SPSS or Excel.  \r<BR>\n" );
document.write( "\n" );
document.write( "a)	What is the F-score; Are the results significant, and if so, at what level (P-value)?<BR>\n" );
document.write( "b)	If the results are significant to the following:  Click analyze, then click Compare Means, and then select one-way ANOVA like you did previously.  Now click Post Hoc.  In this area check Tukey.  If there is a significant result, we really do not know where it is.  Is it between group 1 and 2, 1 and 3, or 2 and 3?  Post hoc tests let us isolate where the level of significance was.  So if the results come back significant, conduct the post hoc test as I mentioned above and explain where the results were significant.<BR>\n" );
document.write( "c)	What do the results obtained from the test mean?  <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #528017 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=528017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Might recommend <BR>\n" );
document.write( "http://vassarstats.net/anova1u.html <BR>\n" );
document.write( "to check Your Work<BR>\n" );
document.write( "F = 7<BR>\n" );
document.write( "HSD[.05]=2.51; HSD[.01]=3.65<BR>\n" );
document.write( "M1 vs M2   non-significant<BR>\n" );
document.write( "M1 vs M3   P<.05  ****<BR>\n" );
document.write( "M2 vs M3   non-significant<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );