statistical differences between products evaluation using incomplete block design

[Alexandra Chirilov-2]

Dear list,

I have a problem...one of our client wants to evaluate 6 products in a CLT!
We propose him a balance incomplete block design (BIBD) (3 products per
respondents). I generate a quite balance design (D-efficiency = 0.8).

I have never used before BIBD (I used only complete design) and I don't have
any idea how to statistically compare the products' evaluation? What
statistical test should I use in order to say that product A is better
perceived than product B (e.g.: 8.97 significantly higher than 8.80)?


Thank you very much,
Alex

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[Marta Garcia-Granero]

El 29/09/2011 9:53, Alexandra Chirilov escribió:

> Dear list,
>
> I have a problem...one of our client wants to evaluate 6 products in a CLT!
> We propose him a balance incomplete block design (BIBD) (3 products per
> respondents). I generate a quite balance design (D-efficiency = 0.8).
>
> I have never used before BIBD (I used only complete design) and I don't have
> any idea how to statistically compare the products' evaluation? What
> statistical test should I use in order to say that product A is better
> perceived than product B (e.g.: 8.97 significantly higher than 8.80)?
>

Hi Alexandra:

Time ago I managed to replicate the results for this balanced incomplete
block design I found in a book, using SPSS:

Fert. Bl.1  Bl.2  Bl.3  Bl.4  Bl.5
F1    94    96    100   92    -
F2    95    75    76    -     92
F3    76    100    -    97    98
F4    94    -    102    93    96
F5    -     75    91    86    95

* Dataset *
data list list/Block Fert Yield (3 F8.0).
begin data
1 1  94
2 1  96
3 1 100
4 1  92
1 2  95
2 2  75
3 2  76
5 2  92
1 3  76
2 3 100
4 3  97
5 3  98
1 4  94
3 4 102
4 4  93
5 4  96
2 5  75
3 5  91
4 5  86
5 5  95
end data.

*Analysis *.
UNIANOVA
   Yield BY Fert Block
   /RANDOM = Block
   /METHOD = SSTYPE(1)
   /INTERCEPT = INCLUDE
   /DESIGN = Block Fert.

It is important:

- Use SSTYPE(1) instead of the default method - SSTYPE(3)
- The order of both factors in "/DESIGN" (last line) is blocks first,
then treatments

HTH,
Marta GG

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[vlad simion]

Hi Alex,

Have a look at this site, might be useful:

http://ssnds.uwo.ca/statsexamples/spss.html

Hth,

Vlad 

On Thu, Sep 29, 2011 at 10:53 AM, Alexandra Chirilov <[hidden email]> wrote:

Dear list,

I have a problem...one of our client wants to evaluate 6 products in a CLT!
We propose him a balance incomplete block design (BIBD) (3 products per
respondents). I generate a quite balance design (D-efficiency = 0.8).

I have never used before BIBD (I used only complete design) and I don't have
any idea how to statistically compare the products' evaluation? What
statistical test should I use in order to say that product A is better
perceived than product B (e.g.: 8.97 significantly higher than 8.80)?


Thank you very much,
Alex

=====================
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[David Marso]

A quick calculation gives 20 combinations of 6 choose 3.
I hope you have counterbalanced the order of product presentation!!!
Hopefully the following will be useful/helpful.
http://tinyurl.com/3czcalr
----Resolves to this mess----
You'll likely need to save to disk as the doc does not seem to open from the redirect.
( FWIW:  I am on Mac Leopard running FireFox 6.0.2)
Maybe this link directly will work better than the tinyurl but it is ugly
http://www.google.com/url?sa=t&rct=j&q=2bibd.pdf&source=web&cd=1&ved=0CBoQFjAA&url=http%3A%2F%2Fwww.iasri.res.in%2Fiasriwebsite%2FDESIGNOFEXPAPPLICATION%2FElectronic-Book%2FModule%25202%2F2BIBD.pdf

Alexandra Chirilov wrote

Dear list,

I have a problem...one of our client wants to evaluate 6 products in a CLT!
We propose him a balance incomplete block design (BIBD) (3 products per
respondents). I generate a quite balance design (D-efficiency = 0.8).

I have never used before BIBD (I used only complete design) and I don't have
any idea how to statistically compare the products' evaluation? What
statistical test should I use in order to say that product A is better
perceived than product B (e.g.: 8.97 significantly higher than 8.80)?


Thank you very much,
Alex

=====================
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[Bruce Weaver]

That looks like it's from the same site I stumbled across a week or two ago.  Here are some more potentially useful links:

  http://www.iasri.res.in/iasriwebsite...ectronic-Book/
  http://www.iasri.res.in/ebook/ebooks.htm

David Marso wrote

A quick calculation gives 20 combinations of 6 choose 3.
I hope you have counterbalanced the order of product presentation!!!
Hopefully the following will be useful/helpful.
http://tinyurl.com/3czcalr
----Resolves to this mess----
You'll likely need to save to disk as the doc does not seem to open from the redirect.
( FWIW:  I am on Mac Leopard running FireFox 6.0.2)
Maybe this link directly will work better than the tinyurl but it is ugly
http://www.google.com/url?sa=t&rct=j&q=2bibd.pdf&source=web&cd=1&ved=0CBoQFjAA&url=http%3A%2F%2Fwww.iasri.res.in%2Fiasriwebsite%2FDESIGNOFEXPAPPLICATION%2FElectronic-Book%2FModule%25202%2F2BIBD.pdf

Alexandra Chirilov wrote

Dear list,

I have a problem...one of our client wants to evaluate 6 products in a CLT!
We propose him a balance incomplete block design (BIBD) (3 products per
respondents). I generate a quite balance design (D-efficiency = 0.8).

I have never used before BIBD (I used only complete design) and I don't have
any idea how to statistically compare the products' evaluation? What
statistical test should I use in order to say that product A is better
perceived than product B (e.g.: 8.97 significantly higher than 8.80)?


Thank you very much,
Alex

=====================
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[David Marso]

GREAT find Bruce.
BTW: First link is broken ;-(
I Located that same site when I Googled Incomplete Block Design.
Useful information!  Do you recall the times before the availability of the internet when we had to locate such things in Books ;-)
--

Bruce Weaver wrote

That looks like it's from the same site I stumbled across a week or two ago.  Here are some more potentially useful links:

  http://www.iasri.res.in/iasriwebsite...ectronic-Book/
  http://www.iasri.res.in/ebook/ebooks.htm

David Marso wrote

A quick calculation gives 20 combinations of 6 choose 3.
I hope you have counterbalanced the order of product presentation!!!
Hopefully the following will be useful/helpful.
http://tinyurl.com/3czcalr
----Resolves to this mess----
You'll likely need to save to disk as the doc does not seem to open from the redirect.
( FWIW:  I am on Mac Leopard running FireFox 6.0.2)
Maybe this link directly will work better than the tinyurl but it is ugly
http://www.google.com/url?sa=t&rct=j&q=2bibd.pdf&source=web&cd=1&ved=0CBoQFjAA&url=http%3A%2F%2Fwww.iasri.res.in%2Fiasriwebsite%2FDESIGNOFEXPAPPLICATION%2FElectronic-Book%2FModule%25202%2F2BIBD.pdf

Alexandra Chirilov wrote

Dear list,

I have a problem...one of our client wants to evaluate 6 products in a CLT!
We propose him a balance incomplete block design (BIBD) (3 products per
respondents). I generate a quite balance design (D-efficiency = 0.8).

I have never used before BIBD (I used only complete design) and I don't have
any idea how to statistically compare the products' evaluation? What
statistical test should I use in order to say that product A is better
perceived than product B (e.g.: 8.97 significantly higher than 8.80)?


Thank you very much,
Alex

=====================
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[Bruce Weaver]

Yep, I do remember going to the book stacks in a library (with poor air circulation) to find such things.  On account of the poor air circulation, you could only stay for so long before dropping off to sleep.  

The first link was meant to be this:

  http://www.iasri.res.in/iasriwebsite/DESIGNOFEXPAPPLICATION/Electronic-Book/

David Marso wrote

GREAT find Bruce.
BTW: First link is broken ;-(
I Located that same site when I Googled Incomplete Block Design.
Useful information!  Do you recall the times before the availability of the internet when we had to locate such things in Books ;-)
--

Bruce Weaver wrote

That looks like it's from the same site I stumbled across a week or two ago.  Here are some more potentially useful links:

  http://www.iasri.res.in/iasriwebsite...ectronic-Book/
  http://www.iasri.res.in/ebook/ebooks.htm

David Marso wrote

A quick calculation gives 20 combinations of 6 choose 3.
I hope you have counterbalanced the order of product presentation!!!
Hopefully the following will be useful/helpful.
http://tinyurl.com/3czcalr
----Resolves to this mess----
You'll likely need to save to disk as the doc does not seem to open from the redirect.
( FWIW:  I am on Mac Leopard running FireFox 6.0.2)
Maybe this link directly will work better than the tinyurl but it is ugly
http://www.google.com/url?sa=t&rct=j&q=2bibd.pdf&source=web&cd=1&ved=0CBoQFjAA&url=http%3A%2F%2Fwww.iasri.res.in%2Fiasriwebsite%2FDESIGNOFEXPAPPLICATION%2FElectronic-Book%2FModule%25202%2F2BIBD.pdf

Alexandra Chirilov wrote

Dear list,

I have a problem...one of our client wants to evaluate 6 products in a CLT!
We propose him a balance incomplete block design (BIBD) (3 products per
respondents). I generate a quite balance design (D-efficiency = 0.8).

I have never used before BIBD (I used only complete design) and I don't have
any idea how to statistically compare the products' evaluation? What
statistical test should I use in order to say that product A is better
perceived than product B (e.g.: 8.97 significantly higher than 8.80)?


Thank you very much,
Alex

=====================
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[Marta Garcia-Granero]

Hi Alexandra, please address your questions to the whole list.

What do you mean by "help interpreting the results"? You should run a
UNIANOVA with your data as as showed you in the example I sent. I forgot
to add post-hoc pairwise comparisons, like Tukey, BTW.

Regards,
Marta GG

El 29/09/2011 11:39, Alexandra Chirilov escribió:

> Dear Marta,
>
> Could you be so kind in order to help me interpreting the results?
>
>
> -----Original Message-----
> From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of
> Marta García-Granero
> Sent: Thursday, September 29, 2011 12:17 PM
> To: [hidden email]
> Subject: Re: statistical differences between products evaluation using
> incomplete block design
>
> El 29/09/2011 9:53, Alexandra Chirilov escribió:
>> Dear list,
>>
>> I have a problem...one of our client wants to evaluate 6 products in a
> CLT!
>> We propose him a balance incomplete block design (BIBD) (3 products
>> per respondents). I generate a quite balance design (D-efficiency = 0.8).
>>
>> I have never used before BIBD (I used only complete design) and I
>> don't have any idea how to statistically compare the products'
>> evaluation? What statistical test should I use in order to say that
>> product A is better perceived than product B (e.g.: 8.97 significantly
> higher than 8.80)?
> Hi Alexandra:
>
> Time ago I managed to replicate the results for this balanced incomplete
> block design I found in a book, using SPSS:
>
> Fert. Bl.1  Bl.2  Bl.3  Bl.4  Bl.5
> F1    94    96    100   92    -
> F2    95    75    76    -     92
> F3    76    100    -    97    98
> F4    94    -    102    93    96
> F5    -     75    91    86    95
>
> * Dataset *
> data list list/Block Fert Yield (3 F8.0).
> begin data
> 1 1  94
> 2 1  96
> 3 1 100
> 4 1  92
> 1 2  95
> 2 2  75
> 3 2  76
> 5 2  92
> 1 3  76
> 2 3 100
> 4 3  97
> 5 3  98
> 1 4  94
> 3 4 102
> 4 4  93
> 5 4  96
> 2 5  75
> 3 5  91
> 4 5  86
> 5 5  95
> end data.
>
> *Analysis *.
> UNIANOVA
>     Yield BY Fert Block
>     /RANDOM = Block
>     /METHOD = SSTYPE(1)
>     /INTERCEPT = INCLUDE
>     /DESIGN = Block Fert.
>
> It is important:
>
> - Use SSTYPE(1) instead of the default method - SSTYPE(3)
> - The order of both factors in "/DESIGN" (last line) is blocks first, then
> treatments
>
> HTH,
> Marta GG
>
> =====================
> To manage your subscription to SPSSX-L, send a message to
> [hidden email] (not to SPSSX-L), with no body text except the
> command. To leave the list, send the command SIGNOFF SPSSX-L For a list of
> commands to manage subscriptions, send the command INFO REFCARD
>
>

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