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Normalizing/Standardizing Data
Hi,
I am comparing data from 2008 and 2009 but want to ensure I am not comparing apples & oranges. I am hoping some one can help me. 2009: 10 projects total 8 projects done correctly 1 project done partially correct 1 project done wrong 80% done correctly 10% done partially correct 10% done wrong 2008: 13 projects total 12 projects done correctly 1 project done partially correct 1 project done wrong 92.3% done correctly 7.7% done partially correct 7.7% done wrong Question: am I comparing apples to apples when I say 7.7% were done incorrectly in 2008 and 10% were done incorrectly in 2009? I think the total number of projects is skewing my data and some how I should normalize/equate the total before doing a percentage check. What do you think? I am also doing the same review dollar-wise and doing it dollar-wise shows things were better in 2009 as compared to 2008. Do I need to do something with the dollars also to make the dollars from one year to the next be equal, or just the quantity needs to be equal? Or, not at all? Thanks. |
#2
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Normalizing/Standardizing Data
Decided to add the dollars for perspective. Also, the question I am trying to
answer is: was there an improvement from 2008 - 2009 in doing projects correctly? 2009: $100,000.00 projects total $94,031.87 projects done correctly $2,403.40 projects done partially correct $3,564.73 projects done wrong 94.0% done correctly 2.4% done partially correct 3.6% done wrong 2008: $227,158.78 projects total $181,424.88 projects done correctly $22,533.31 project done partially correct $23,200.59 project done wrong 79.9% done correctly 9.9% done partially correct 7.7% done wrong "Stumped" wrote: Hi, I am comparing data from 2008 and 2009 but want to ensure I am not comparing apples & oranges. I am hoping some one can help me. 2009: 10 projects total 8 projects done correctly 1 project done partially correct 1 project done wrong 80% done correctly 10% done partially correct 10% done wrong 2008: 13 projects total 12 projects done correctly 1 project done partially correct 1 project done wrong 92.3% done correctly 7.7% done partially correct 7.7% done wrong Question: am I comparing apples to apples when I say 7.7% were done incorrectly in 2008 and 10% were done incorrectly in 2009? I think the total number of projects is skewing my data and some how I should normalize/equate the total before doing a percentage check. What do you think? I am also doing the same review dollar-wise and doing it dollar-wise shows things were better in 2009 as compared to 2008. Do I need to do something with the dollars also to make the dollars from one year to the next be equal, or just the quantity needs to be equal? Or, not at all? Thanks. |
#3
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Normalizing/Standardizing Data
the question I am trying to answer is:
was there an improvement from 2008 - 2009 in doing projects correctly? I'm not a stats guy, so I'm probably wrong here. To 'Normalize a vector, try this... In A1:A3, place your data 8,1,1 Place the following in B1, and copy down to B3. =A1/(SQRT(SUMSQ($A$1:$A$3))) Do the same with your other data (12,1,1) (Note: Total = 14, not 13) The two vectors I get a {0.984732, 0.123091, 0.123091}

 {0.993127, 0.082761, 0.082761}

 If we divide the two vectors, we get the following: {0.991547, 1.48732, 1.48732} The "success rate" change is very close to one. (meaning not much of a difference) This is because the 'success rate' is the biggest component of your 3 items. The failure rate seems to gotten worse as you said. It appears worse at 1.48 vs your data of 10/7.7 = 1.2987 Again, I may be wrong here. = = = = = = = = HTH Dana DeLouis On 10/9/09 7:19 PM, Stumped wrote: Decided to add the dollars for perspective. Also, the question I am trying to answer is: was there an improvement from 2008 - 2009 in doing projects correctly? 2009: $100,000.00 projects total $94,031.87 projects done correctly $2,403.40 projects done partially correct $3,564.73 projects done wrong 94.0% done correctly 2.4% done partially correct 3.6% done wrong 2008: $227,158.78 projects total $181,424.88 projects done correctly $22,533.31 project done partially correct $23,200.59 project done wrong 79.9% done correctly 9.9% done partially correct 7.7% done wrong "Stumped" wrote: Hi, I am comparing data from 2008 and 2009 but want to ensure I am not comparing apples& oranges. I am hoping some one can help me. 2009: 10 projects total 8 projects done correctly 1 project done partially correct 1 project done wrong 80% done correctly 10% done partially correct 10% done wrong 2008: 13 projects total 12 projects done correctly 1 project done partially correct 1 project done wrong 92.3% done correctly 7.7% done partially correct 7.7% done wrong Question: am I comparing apples to apples when I say 7.7% were done incorrectly in 2008 and 10% were done incorrectly in 2009? I think the total number of projects is skewing my data and some how I should normalize/equate the total before doing a percentage check. What do you think? I am also doing the same review dollar-wise and doing it dollar-wise shows things were better in 2009 as compared to 2008. Do I need to do something with the dollars also to make the dollars from one year to the next be equal, or just the quantity needs to be equal? Or, not at all? Thanks. |
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