# Area Under A Curve Coursework

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC

101 S. Hanley Rd, Suite 300

St. Louis, MO 63105

Or fill out the form below:

We really can't do that.

Because any one you draw, I can cut in half, as well.

By definition.

So remember although that theoretical practically it's not really so,

remember we talked about the blood pressure that if I had

an apparatus that was, could do infinitely fine measurements,

I could work out to a systolic blood pressure of 120.56789 or if I

practically speaking we can make those bars smaller and smaller and

eventually you're going to end up with a bar with a width of zero.

Then we can't work out data anymore.

So what do we do?

Fortunately mathematicians to the rescue and

as per usual if you see the graph there it's negative X minus H squared.

A nice little graph there.

A parabolic curve there and we can work out the area under the curve.

We needn't have a special shape like a square or rectangle.

The very smooth curve, we can work out the area under the curve for that.

Between two limits.

Integration is quite easy to do.

Now, the mathematics behind

statistics is going to draw this beautifully symmetrical normal curve.

I want to remind you when we roll the dice,

we said what was the probability of rolling an 11 or 12.

So we added those values, and

we're going to do exactly the same with a continuous variable.

We're not, we're never gonna ask what the probability of finding one value is.

We begin to colour in an area under the, the graph for

some distance from the spot out to one of the two sides.

And we are going to calculate that probability.

We're going to find our value somewhere in there and then say if it's more or

less than say, the point of five, that was our magical value.

Now we construct the graph, at least the mathematics or the program that

you use is going to construct that graph so that the whole area is still one.

It's going to be same as we had with the rolling of the die.

If you choose 0.05 now the graph that you see there is not really to scale

but it is going to decide where to make the cutoff so

that you see the darker area, the darker blue area, where that would represent

five percent or 0.05 of the total area under that curve.

The value that is found by doing research is then going to fall

either within those limits and we can work out the p value.

The probability for that area under the curve.

But we would say it is less than 0.05 having found that result with that

research with the probability of less than 0.05.

So it's going to convert all the differences in means, the means of a group.

It's going to convert that to some value on the x-axis, and

its gonna fall either within that 0.05, or it's going to fall outside of it and

we can actually work out that area under the curve.

Now, you've seen me draw little curves and everything was on the one side,

but most of the time that's not how we're going to do it.

We can do this.

We're going to split the 5%, 0.05 up into 0.025.

2.5% on either side and our values are going to fall on either side of that.

We're still going to calculate an area under the curve.

So that's how it works. It's an area under the curve,

it falls between different limits and

the results that are found either falls within those areas or

it falls outside of the p value of less than 0.05 or a p value of more than 0.05.

## 0 thoughts on “Area Under A Curve Coursework”