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7 IB Math IA Method Ideas!!!

By Study Sinead

Summary

## Key takeaways - **Difference of Means Test**: Test the difference between two means to see if there's a significant difference, like average salary for community college vs. Ivy League graduates or popularity metrics between two albums. [01:54], [02:17] - **Difference of Proportions Test**: Compare proportions instead of means, such as the proportion of 3-point shots made versus 2-point shots made by an NBA team in one season. [02:38], [03:12] - **Correlation & Regression Analysis**: Find relationships between two variables like hours slept vs. GPA or country GDP vs. lifespan, but avoid mistakes like confusing correlation with causation or misinterpreting terms. [03:46], [04:43] - **ANOVA Test**: Test multiple different means at once, which is significantly more complicated than difference of means but can score high marks if understood well. [04:53], [05:05] - **Test for Normality**: Test whether data is normally distributed, like one friend did with Indomie noodle sales and got full marks. [05:15], [05:26] - **Fractal Dimension Caution**: Calculate fractal dimension of islands like she did, but many copy without understanding theory, leading to mistakes since examiners may not be familiar. [06:46], [07:08]

Topics Covered

  • Master One Method Deeply
  • Test Significant Differences in Means
  • Compare Proportions Like NBA Shots
  • Avoid Correlation-Causation Fallacy
  • Research Theory Before Executing

Full Transcript

so you're looking for an idea for what to do with your ia your teacher never really explained it well you don't care about maths enough to be able to come up with one yourself and you just want to get it done easily and be over with it because in this

video i'm going to be sharing seven methods which you can use for your mafia i ended up getting a sub in my math i with full marks and i've coached a lot of kids for how to improve their math ia and i recently just finished a statistics unit in my uni and throughout

that course we learned a bunch of new statistical methods which i thought wow these could be like great methods which kids could use in their math ia so i'm not going to be giving you specific topics but i'm just going to be talking more generally about certain methods that you can use

which you can apply to things that you're interested in to be able to write the a i made a video about the ultimate guide to the math ia in that video i said that the most important thing that you can do for your math is figure out a method and then just spend the whole ia talk about that

method if you want to see that video it's linked over here and that video did pretty well and i got a lot of responses from people asking okay this is great but i don't know what to do so yeah in this video i'm not going to give you like direct topics but i'm going to be suggesting different methods

that you could use to do your own ia if you're going to use one of these methods you're going to have to go off and learn the theory of it yourself i'm going to link a lot of videos in the description which can help you do that some of them i have more

resources than others i also plan on making a few videos to explain how you can implement some of these methods what i learned from doing a bunch of assignments for my statistics scores is that there's literally so much that

you can do with maths if you just know the right statistical tools to be able to implement the data analysis and so i'm going to be sharing all of those everything i learned from my uni statistics course methods and also some ideas from my friends i use

with you today most of these are ideas for statistics but i think statistics is a really good subject to do for your math ia because because it's really easy to apply as long as you have a data set that you can use and you can get data from

like anywhere okay so my first idea is for you to do a difference of means test this is probably one of the simplest ones to do so this is good if you're probably in like one of the sl courses again i'll leave all of the links in the description below for you to go and

check out and research yourself for how to do this specifically but essentially what you can do with this test is that you can test the difference between two means and see if there's a significant difference between them for example if you wanted to know whether there is a difference or not

between the average salary for someone who graduated from community college versus an ivy league school you could do a difference of means test to test that or for example if you're interested in music you can figure out a metric to

gauge the popularity of a song and your favorite artist's album and then if there's two albums you can test whether there's a significance between them whether one is significantly more popular than the other because you can't say like oh yeah this one has more downloads than this one but is that

difference actually significant you can use a difference of means test to figure that out i had to write a whole assignment on this so trust me there's actually a lot more that goes into it but yeah that's my first idea my second idea is very similar to this

it's basically a difference of proportions tests and it basically does the same method as a difference of means test but the equations are slightly different so the difference of proportions test is different in that instead of comparing means you're measuring proportions a

proportion is for example like the percentage of people who drop out of college for example one kid who i was helping advise him for his ia he's trying to figure out whether there's a difference or not between the proportion of three point shots made

versus two point shots made so he's taking his favorite team in the nba and then for one season he's going on the nba stats website and he's pulling out all of the like proportions for three-point shots so if they shoot 10

shots and they make five then the proportion would be 0.5 and he's finding the average of all of those proportions for all of the gains in the season and then he's gonna compare those proportions of three-point shots made two proportions of two point shots made

and seeing whether there's a significant difference or not again link's in the description for more information okay my third example and yes there's lots of stats here but like stats are so easy to do because honestly you can find data sets anywhere you can like count your own

data you can make your own data if you have data you can basically do anything with the mapping honestly you can even take your own data that would like you know really show your personal engagement but yes this third one is doing a correlation and

regression analysis a correlation and regression analysis is basically where you're trying to find the relationship between two variables for example you could like survey everyone in your class and figure out how many hours they sleep at night versus

what is their average gpa or something and you can figure out whether there's a relationship between sleep and how good your grades are or you could collect the data from a bunch of different countries for example take their gpa and then compare it to some other metric

their average lifespan or something like that i don't know there's lots of different variables and metrics and there's lots of data out there for country stuff which you can try and figure out whether there's a relationship between correlation and regression analysis

ias are quite common however kids make a lot of mistakes on them when i'm reading a correlation regression analysis i often see kids messing up the key terms having incorrect interpretations confusing correlation with conversation

which you should know that correlation does not cause causation doing simplistic interpretations of their data and so if you do want to do this one i would highly advise you to just like really study the video like really like pay a lot of attention

to like studying this and making sure you're getting your interpretations correct because i just see a lot of misuse of key terms and incorrect interpretations now the fourth one is a more complicated statistical

test which is the anova test so remember before we were talking about difference of mean steps well an anova test will allow you to test multiple different means so it's taking a step up a notch it's significantly more complicated than the difference of means test

but if you really show your understanding of it and you take time to learn it then you could potentially do really well with this one and score high marks my fifth one and i promise this is my last statistics one is you can do a test

for normality so you can test whether something's normally distributed or not one of my friends did this and she got full marks she basically wanted to see whether indomie was normally distributed or not and yeah again i'm going to encourage

you to try and like explore that and figure out how to do it by yourself but yeah you can definitely take any distribution of data and then figure out whether it is normally distributed or not so these are the examples that i gave in

my original method video i'm just going to continue with those my sixth example is to do a volume of revolution i a so if you study calculus this might be more interesting for you trying to find the volume of any complicated object could work really

well in your favor because it's pretty straightforward and simple but there's still a lot to talk about and a lot of math to do what you want to find is you want to find like an object that's complicated enough that you're going to have to plot multiple curves if you do anything with a straight line

that's going to be too simple because that's just linear doing a wine glass could be good because if you can plot multiple different slopes on that then that would be good it's also nice to do a bottle of some sorts because then you

can submerge it under water and figure out what the volume is through the method of seeing how high the water rises and then comparing that to your final result maybe it doesn't work so you have to try something again you know evaluation it can be good if

you understand calculus and volume of evolution enough always research the theory before you start doing your ia because yeah it's kind of just ridiculous to go in there not really understanding the theory behind what you're doing

okay my seventh option is to do what i did and find the fractal dimension of multiple different islands i usually don't i'm reading this for last because for the people who i have seen do it they make just a lot of mistakes because they don't actually understand the

theory they're just like copying mine and like they're not explaining the concepts correctly and and it's very unclear what they're doing because this is a new topic the ib examiner probably isn't familiar with it and you really should probably

explain it really well and they just don't so so it doesn't really work out well in the end this goes for all of the ias you have to really understand what you're doing before you start doing the test because

otherwise you're just going to fall into a lot of problems i probably spent a week researching fractals and dimensions maybe even two weeks i really made sure i figured out exactly what was happening before

i started just going and plotting numbers on things same with the statistics test usually the reason why kids mess up is because they find someone else's statistics ia and they just copied word for word and then they go

and try and figure out the background information later sometimes it works if you get lucky and you and you find out you do understand it but from what i've seen often going into something without fully understanding the theory means that you make a lot of mistakes

which you could have prevented if you had spent some time doing the actual research beforehand and so yeah i hope this video helped any of you guys if you have any questions leave them in the comments below i'm planning on doing some videos

explaining like my own steps for how to do them but for now i'm going to leave resources down in the description which you can use anyways guys i hope that helped leave any of your comments in the description below and i'll see you

next time

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