Step2: Find TSS and Factor A
<\/strong><\/h3>\nTSS is found by doing the following:<\/p>\n
Square each element and add all those up. So:<\/p>\n
45.20^2+60.10^2.+…(and so on)…+51.80^2<\/p>\n
This will give you: 43,366.81<\/p>\n
Then subtract n*TotalAvg^2: 15*52.57^2, which will give you 41,448.82<\/p>\n
So the TSS<\/strong> is: 43,366.81 – 41,448.82 = 1,917.99<\/p>\nThen find Factor A. Remember that in 1-Way ANOVAS there is only Factor A (row Factor). It doesn’t matter how they present the initial dataset table to you, you look at it as a Row. So here is what you do:<\/p>\n
Factor A:<\/strong> 6 * (43.80 – 52.57)^2+5 * (56.90 – 52.57)^2+ 4* (60.30 – 52.57)^2 = = 794.23<\/p>\n[\/et_pb_text][et_pb_image src=”http:\/\/euseguros.pt\/wp-content\/uploads\/2022\/04\/1-way-anova-table.jpg” _builder_version=”4.4.3″][\/et_pb_image][et_pb_text _builder_version=”4.4.3″ hover_enabled=”0″]<\/p>\n
To build your 1-way anova table, you need to memorize: the headers: Source, DF(Degrees of Freedom), SS(Sum of Squares), MS(Mean Square), F-Test<\/p>\n
Then for the rows you enter Factor A, Residual or Error(same thing) and Total.<\/p>\n
The next step is to enter de DF. We have 3 rows, so the DF are 3-1 = 2<\/p>\n
N=15, so our DF for N = 15-1 = 14. The residual or Error is the difference: in our case 14-2 = 12.<\/p>\n
Moving on, for the SS, we calculate SS for FactorA = 794.23 and we also have the TSS which is 1,917.99, so to find the Residual we do the difference between both which gives us the total of 1,123.76<\/p>\n
For the MS you just divide the SS by the DF. So for Factor A we have 794.23\/2 = 397.12 and for the Residual we have 1,123.76 \/ 12 = 93.65<\/p>\n
Finally to find F, you divide 397.12\/93.65 = 4.24<\/p>\n
[\/et_pb_text][et_pb_image src=”http:\/\/euseguros.pt\/wp-content\/uploads\/2022\/04\/F-Table.jpg” _builder_version=”4.4.3″][\/et_pb_image][et_pb_text _builder_version=”4.4.3″ hover_enabled=”0″]<\/p>\n
Step3: Do the Test
<\/strong><\/h3>\nThey will ask something like this: “Use the analysis of variance to test whether there is any difference in the average times salespeople spend on the phone.”<\/span><\/p>\nThey will usually tell you to use a specific significance level. Let’s say they tell you it is 5%.<\/span><\/p>\nSo what you do is use a Statistical F-Distribution Table at 5%(not that there are F-Tables for 10%, 2.5%, so make sure you are using the right one)<\/span><\/p>\nAnd you now have the needed values to find the corresponding entry v1= DF of Factor a = 2, and V2 = Residual = 12. From the table we get the value of 3.885<\/span><\/p>\nSo the 3.885 is the critical value, the crossing point between the H0: (Null Hypothesis) and H1.<\/span><\/p>\nAnd you know compare it to the value from the ANOVA table which is 4.24. <\/span><\/p>\nSince 4.24 is greater than 3.884, this means that:<\/span><\/p>\nWe reject the H0(null) and conclude that there is a difference in the average time salespeople spend on the phone.<\/span><\/p>\n[\/et_pb_text][et_pb_image src=”http:\/\/euseguros.pt\/wp-content\/uploads\/2022\/04\/Result.jpg” _builder_version=”4.4.3″][\/et_pb_image][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=”4.4.3″][et_pb_column type=”4_4″ _builder_version=”4.4.3″][et_pb_signup provider=”aweber” aweber_list=”Subscribers|6133958″ success_action=”redirect” success_redirect_url=”http:\/\/euseguros.pt\/novo-subscritor\/” title=”Subscribe to our newsletter” button_text=”SUBMIT” description=”<\/p>\n
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In this article, we will show you how to build a 1-Way ANOVA Table step-by-step so it can help you in your studies of statistics.<\/p>","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[105],"tags":[395],"yoast_head":"\n
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