In an article Shelf-Space Strategy in Retailing. published...

Key Concepts

Retail Merchandising Strategy

Retail merchandising strategy addresses the way products are arranged and presented to maximize sales and profitability. The study of shelf height as a factor in product placement is a key aspect of this strategy, as it explores how physical positioning on shelves affects consumer visibility and purchase behavior, thereby informing retailers' display techniques.

Control of Extraneous Variables

Controlling extraneous variables involves holding constant other factors that could influence the outcome, aside from the independent variable being tested. In this retail experiment, ensuring that other factors such as the mix of dog food brands remain consistent helps isolate the effect of shelf height on sales by minimizing the impact of potential confounders.

Treatment Levels

Treatment levels refer to the different conditions or interventions applied in an experiment. In this study, the different shelf heights (e.g., knee level, waist level, eye level) represent distinct treatment levels. Analyzing these levels allows researchers to assess how changes in product placement can influence consumer behavior and sales outcomes.

Randomization

Randomization is a technique used to assign experimental conditions in such a way that every subject or unit has an equal chance of receiving any treatment. In retail experiments, randomizing the assignment of shelf heights helps control for potential confounding variables and biases, ensuring that any observed differences in sales are due to the treatment rather than systematic error.

Experimental Design

Experimental design involves planning how to collect data in a way that provides reliable and valid results when testing specific hypotheses. In the context of retail, it ensures that variations in sales can be attributed to the shelf height manipulation rather than extraneous factors, allowing the study to draw causal inferences about the effect of product placement on customer purchases.

Transcript

00:02 Okay, this question says, it's question number 18 .5.

00:08 Right, it says in an article, shelf space strategy in retailing, published in the proceeding southern marketing, association, the effect of shelf height on the supermarket sales of canned dark food is investigated.

00:28 An experiment was conducted at a small supermarket.

00:31 Market for a period of eight days on the sales of a single brand of dark food referred to as aft dog food involving three levels of shelf height knee level waist level and eye level during each day the shelf height of the canned dog food was randomly changed on three different occasions the remaining sections of the condola that housed the given brand were filled with a mixed of dog food brands that were both familiar and unfamiliar to customers in this particular geographic area sales in the hundreds of dollars of after food were paid per day for the three shelf heights are shown in a table so there must be eight per level there is the knee level there eight right for eight days there so you have eight data sets it's there for waste level with eight and for iron level with eight now the question says is there a significant difference in the average daily cells of this dog food based on the shelf height use as zero comma zero one level of significance okay right so let's begin how do we do this first of all what is what our hypothesis the first hypothesis there then now hypothesis i say it a mu one must be equal to new two must be called to mu three and then the alternate says they are they are not equal or at least two mules are not equal there so they are not all equal and the significance level that we are given to use is 0 .01 right the critical region is 3 .47 with v1 being 2 there and v2 being 21 there right how did you get our or our v1 v1 i say it's k minus one which is uh three minus uh one there three minus one which is two right and then our 21 here how did you get 21 we say k our k is three right um 24 minus three right the population is 24 minus three and we get our 21 this is how we get these uh two degrees of freedom then when we check uh in the f table from the f table this a v1 is the column that means you check going downwards you pick it to going downward then a 21 is there being the denominator you check it's a row so you go to 21 right downwards then you check across to find where 20 went to on the column and 21 on the where they meet that's where you find three puma four seven there okay so i've just done a summary of the answer that i'm i found but i'll show you the calculations uh below on where i get got especially these two values the shelf height the sum of squares of the shelf height and this the sum of squares of the error there because once you get these two you can get every figure that you need in this and you can even because what we are looking for is the computed f there all right.

04:05 So now, as you can see, our computed f is 14 .5 to the.

04:14 It is the division of, you say, one of the square mean that you divide 199, 6 ,3 divide by 13 .75, you get 14 .5 to the right.

04:27 Or these are the degrees of freedom.

04:29 You see we calculated them there.

04:30 Right.

04:31 Now, so what we want to find out now is how do we get the.

04:36 Sum of squares for the shelf height and the sum of squares for the right so that's where the work is probably let me just finish up with the conclusion that we did then we show you those two things at last right because it's it's quite a it's quite some like i tell you and you are doing an over and you know that it's quite some some good work though right our pay value there i used the software and i found that the pay value is right zero comma zero one there and then right comparing our f the calculated value and the f this the given value from the the decrease of freedom the critical value there let me call f crit today right the f critical day is 3 .4 so meaning that the f calculated value there is way bigger than the the the critical value that we have there.

05:45 So let me call this f -crit critical region, isn't it? so we are saying this is bigger than that one.

05:54 So what we do? whenever it's, you find this bigger than the critical region, then we have to reject.

05:58 So we are saying reject the now hypothesis.

06:03 You are saying the amount of money on dog food differs with the shelf height of the display there.

06:10 Okay.

06:11 So probably now to show you how i got the shelf height sum of squares and the right okay so and to see how we derive those those figures there so now if we add let's say the total for group one let me call it t1 t1 and then we have t2 and with t3 so if we add the totals for for group one i added the totals for group one there let me just say the summation of rights and then i found that it was 6, 4, 8 there.

06:46 And this one was, right, the summation of this one was 722, right, 722.

06:57 Right, 722.

06:59 And this one was 6, 7, 7 there.

07:04 Okay.

07:07 Now, having done that, let's see how we, right, let's just continue with our calculations.

07:18 Now, i want show you how we get the how we get okay this is seven to seven not seven to just a point of correction day all right now let's see if you add these if you add these they give you let me say a big t there a big t which is 20 .5 2 all right that's my big t the the sum of all the this all right now now let's look at the sum of the squares of t right the sum of the squares of t we are saying right t1 squared plus the sum of t2 squared plus the sum of t 3 square's there so this is going to be 5 -2 -580 there plus 6 -6115 plus 5 -7 -4 -39 so if you add these you get 1716 1 3 -4 okay now you are going to use this value somewhere so let's keep that value there right so now for us to find our error our sum of error there it's going to be our s t minus the sum of the let me just say the shelf they will just say t r there okay so now how do you get our s s t our s t it will be right this figure that we get here from right so the sum of right the of sorry this sum of t right i squared there minus t squared the value that i have as t which is 2052 there so this is going to be 161 3 4 minus right if you say 20 squared divided by n which is 24 there i get one, seven, five, four, four, six.

10:06 And the answer here is six, six, eight...

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