Beginner level books on statistics

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Ceke2002

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Anyone got any recommendations? And by 'beginner' I'm talking 'explain it to me like I'm 5' kind of level -- something along the line of illustrated pop up children's book would be good. I actually am only half joking with that, I need book recs that kinda dumb statistics down, way down, something the mathematically illiterate could understand without risk of heads exploding.
 
Andy Fields learning stats through SPSS has always been a favorite of mine. He has a way of explaining concepts that make it much easier to understand. And, examples through the actual SPSS program, which are huge. The best way to understand stats, is to fumble through it firsthand. If you're really curious, I'd ask over in the Ph.D forum as well. Most us have several years of stats classes and/or have taught stats at some level.
 
Andy Fields learning stats through SPSS has always been a favorite of mine. He has a way of explaining concepts that make it much easier to understand. And, examples through the actual SPSS program, which are huge. The best way to understand stats, is to fumble through it firsthand. If you're really curious, I'd ask over in the Ph.D forum as well. Most us have several years of stats classes and/or have taught stats at some level.

Ooh, cool, thank you I'll check that out. 🙂 Just doing some pre-planning for potential future study -- I'm considering returning to study psychology as my undergrad, as opposed to archaeology, because there's a possibility I may be able to access a distance education program and do most of the psych degree from home, and then apply to transfer into regular post grad medical studies; however the last time I tried to study psychology I failed miserably because pretty much all of my effort and concentration was being taken up just trying to understand the damn stats part of the curriculum. The course I'm looking at doing does insist you complete a Stats 101 course before they'll accept an application for enrollment, but even with that I feel like I need to do a 101 course just to get through the 101 course.
 
Ooh, cool, thank you I'll check that out. 🙂 Just doing some pre-planning for potential future study -- I'm considering returning to study psychology as my undergrad, as opposed to archaeology, because there's a possibility I may be able to access a distance education program and do most of the psych degree from home, and then apply to transfer into regular post grad medical studies; however the last time I tried to study psychology I failed miserably because pretty much all of my effort and concentration was being taken up just trying to understand the damn stats part of the curriculum. The course I'm looking at doing does insist you complete a Stats 101 course before they'll accept an application for enrollment, but even with that I feel like I need to do a 101 course just to get through the 101 course.


Not to be flippant, but actually pretty solid: Amazon product ASIN 0062731025
 
It may help to know what level of stats you are looking to be more comfortable in. Some of the basics? Descriptives (means, standard deviations, mode, median) and correlations? Or getting into a little more depth like regression and ANOVAS and the like?
 
It may help to know what level of stats you are looking to be more comfortable in. Some of the basics? Descriptives (means, standard deviations, mode, median) and correlations? Or getting into a little more depth like regression and ANOVAS and the like?

Basic, like really basic -- like I just read a preview of that book you recommended and then I read the sections on basic maths revision and how to calculate a median and my brain exploded. All I saw was a conga line of numbers, and the rest may very well have been written in hieroglyphics. 😵
 
The key to stats is, like the rest of mathematics, to stay confident that you can and will figure this out going piece by piece, block by block. As long as you keep your confidence up it will come with practice.
 
Sorry, did you post something else with that? Just there's this big blank space and then what you actually wrote but nothing else is showing up. Just checking. 🙂

Weird, there is meant to be a link to the Cartoon Guide to Statistics on Amazon. Maybe you have an ad-blocker enabled and that is causing the problem?
 
Ah, you may try Clausewitz's suggestion "The Cartoon Guide to Statistics." Also, I've heard "The Complete Idiot's Guide to Statistics" is good for basic level stuff, derogatory titles aside.

The key to stats is, like the rest of mathematics, to stay confident that you can and will figure this out going piece by piece, block by block. As long as you keep your confidence up it will come with practice.

I was a fan of Statistics for the Terrified

Weird, there is meant to be a link to the Cartoon Guide to Statistics on Amazon. Maybe you have an ad-blocker enabled and that is causing the problem?

Thank you for all the awesome suggestions 😀 And yes I have an adblocker enabled, but I can disable it for this site. 🙂 I also really like the suggestion on going piece by piece, and just staying confident, because I'm not a mathematically minded person so my inate response to anything beyond the simplest of additions looks a little bit like this...😱
 
I would have to recommend as a immediate reference for your Psych Class "Statistics for the Behavioral Sciences" by Susan Nolan and Thomas Heinzen. This was the book I learnt Applied Stats from and is a great reference to use for your class after you read one of the beginner books listed above.
 
I would have to recommend as a immediate reference for your Psych Class "Statistics for the Behavioral Sciences" by Susan Nolan and Thomas Heinzen. This was the book I learnt Applied Stats from and is a great reference to use for your class after you read one of the beginner books listed above.

I have a feeling this was the book I was trying to use to get through the stats portion of the first year of my degree previously, that I ended up dropping out of because I was failing miserably (mostly at grasping the stats side of things). I was starting to understand things a bit better through that book, but it took me 6 months of pretty much studying nothing but stats and not being able to do much else just to get to that point. So yeah beginner books first, then onto the more standard fare I think (I just don't want to make the same mistake and have to drop out of a course again).

Thanks for the input. 🙂
 
The current trend in teaching statistics definitely emphasizes teaching concepts and making sure that foundation is solid before moving on to applications. This seems to work better at the end of the day than the approach I and I suspect many of the people on this forum came up with, i.e. "Here is a test, learn this test, don't ask too many questions about how this test works."

So beginner first is probably a better way of going about learning it than starting with applied texts. You got this, though; even people who aren't especially clever end up being able to use statistics reasonably well.
 
The current trend in teaching statistics definitely emphasizes teaching concepts and making sure that foundation is solid before moving on to applications. This seems to work better at the end of the day than the approach I and I suspect many of the people on this forum came up with, i.e. "Here is a test, learn this test, don't ask too many questions about how this test works."

So beginner first is probably a better way of going about learning it than starting with applied texts. You got this, though; even people who aren't especially clever end up being able to use statistics reasonably well.

Cheers for the vote of confidence 🙂 I know I've been taking the scenic route back to studies, but I just want to make sure I have everything in place properly this time around, and there's nothing that's going to interfere or give cause for me to drop out (and just end up with a huge amount of disappointment all over again). I'm figuring with possibly going back to study Psychology then if I don't get into medicine Post Grad I can still potentially continue on with Psychology studies and still be working in the healthcare industry. I need to check the credentials of the distance education program I'm looking at with the Australian Board of Psychology, but it would definitely give me a chance to better ease back into full time studies whilst still working on dealing with a few last hurdles that might effect future studies down the line. My main concern right now though is 'can I get through the stats part of things', and I'm definitely feeling more confident that if I prepare for it properly this time, then yes I can. 🙂
 
Naked Statistics by Charles Wheelan.

Cool, thanks 🙂

Looks like I'll be hitting the library to see if I can track down a few of these to preview before I decide on a purchase or not. 😀
 
Not to be flippant, but actually pretty solid: Amazon product ASIN 0062731025

Okay, I can see your book suggestion now. Definitely looks like what I might be looking for, except I've just had to google how to calculate an interval and what the heck is an interval boundary? At least this interval stuff kind of looks like I might be able to wrap my brain around it at some point though* Not sure if the preview I got was from later on in the book, and they explain all that kind of stuff earlier on perhaps?

(*I suppose I can at least be grateful they didn't start writing out something along the lines of bracket, squiggly thing, numbers, bracket, insert a letter from the alphabet because that makes total sense when you're working with numbers 😵 )

edited to add: I'm seriously not trying to be funny or waste time here, maths is my absolute weakest point out of anything, hence the looking for prep work recommendations to prepare for the already required pre-course prep work.
 
Okay, I can see your book suggestion now. Definitely looks like what I might be looking for, except I've just had to google how to calculate an interval and what the heck is an interval boundary? At least this interval stuff kind of looks like I might be able to wrap my brain around it at some point though* Not sure if the preview I got was from later on in the book, and they explain all that kind of stuff earlier on perhaps?

(*I suppose I can at least be grateful they didn't start writing out something along the lines of bracket, squiggly thing, numbers, bracket, insert a letter from the alphabet because that makes total sense when you're working with numbers 😵 )

edited to add: I'm seriously not trying to be funny or waste time here, maths is my absolute weakest point out of anything, hence the looking for prep work recommendations to prepare for the already required pre-course prep work.

The same author has a cartoon guide to algebra out now if that is also a part of maths that has caused problems in the past. Basic algebra is for sure something to have down cold - most physics and chemistry classes aimed at wannabe physicians are really physics or chemistry-themed algebra courses, and plugging and chugging without thinking is important.
 
The same author has a cartoon guide to algebra out now if that is also a part of maths that has caused problems in the past. Basic algebra is for sure something to have down cold - most physics and chemistry classes aimed at wannabe physicians are really physics or chemistry-themed algebra courses, and plugging and chugging without thinking is important.

Oh god, Algebra! 😱 No one has yet been able to explain algebra to me in a way that I can actually grasp, so if these cartoon guides can help me understand it then the person who wrote them is basically a genius. 👍
 
Oh god, Algebra! 😱 No one has yet been able to explain algebra to me in a way that I can actually grasp, so if these cartoon guides can help me understand it then the person who wrote them is basically a genius. 👍
Have you seen that meme on Facebok with adding and subtracting apples, bananas, and some other fruit I'm forgetting? That's algebra. I have to use it for things other people can figure out in their heads.
 
Have you seen that meme on Facebok with adding and subtracting apples, bananas, and some other fruit I'm forgetting? That's algebra. I have to use it for things other people can figure out in their heads.

You mean this one? Yes this is definitely me trying to figure out a maths word puzzle. Total confusion. :scared:

3qy3t.jpg


This one is highly applicable as well. Seriously, someone explain to me how a letter can be a number -- because I'm not sitting here communicating in words by typing numbers so why would you calculate numbers using letters. How do you look at the alphabet and think 'By gosh, that Y could be a 6' :prof:

35bflgg.jpg


And if you can actually work these things out on paper as opposed to just doing them in your head, then you are waaaayyy ahead of me in terms of comprehension. 👍
 
ohhhh I love letters in math especially in statistics!!!! There's n which is for sample size, Cohen's d for effect size. df for degrees of freedom and x for sample mean. And then there is the Greek letters (I think that's what their are called). μ (mew) for population mean and σ (sigma) for standard deviation. Lets just say that there is a ton of letters in stats 🙂:soexcited:
 
This one is highly applicable as well. Seriously, someone explain to me how a letter can be a number -- because I'm not sitting here communicating in words by typing numbers so why would you calculate numbers using letters. How do you look at the alphabet and think 'By gosh, that Y could be a 6' :prof:

Whether it's a letter or a number, they are all values. Imagine they are all letters. The ones with numerals (3, 5) are the ones we have values for. The ones with letters are ones we don't have known values for yet. It's a placeholder for a value that you intend to discover.
 
You mean this one? Yes this is definitely me trying to figure out a maths word puzzle. Total confusion. :scared:

3qy3t.jpg


This one is highly applicable as well. Seriously, someone explain to me how a letter can be a number -- because I'm not sitting here communicating in words by typing numbers so why would you calculate numbers using letters. How do you look at the alphabet and think 'By gosh, that Y could be a 6' :prof:

35bflgg.jpg


And if you can actually work these things out on paper as opposed to just doing them in your head, then you are waaaayyy ahead of me in terms of comprehension. 👍

So it's like this. Think about it this way. You have a series of numbers: 9, 11, 13, 15, 17. Someone tells you "hey actually there are more numbers where those came from and they all follow the same pattern. Do you know what the next number is?"

Of course you do. It's 19, right? You're just adding two. Doesn't matter if it is 9 or 11 or 15 - just add 2 and you get the next number. If I ask you what the next number is after 923,681 and a half, you know what it's gonna be if it's in that series.

So it's be nice to be able to write that rule, y'know? Just add 2 regardless of what number you are looking at. How to write it concisely, though? The add 2 part is easy, just "+2", that's arithmetic. But how do you want to write " I don't know, whatever number you want, it doesn't make a difference"?

Obviously a specific number is not going to communicate this well. So you need a symbol, yeah?

In the tenth century, the Persian bureaucrats who had to do this kind of thing thought a letter would do nicely. You won't get confused and think we're talking about a rule that only applies to a specific number, because hey, a letter is clearly not a number.

When Italian merchants got the hang of this thinking in the fifteenth century for keeping books, they reckoned "x" was a pretty good letter.

So maybe we write "x+2" for our rule. We want to be agnostic about exactly what the next number will be, we call it by a different letter, say, "y".

We summarize our series very nicely that way - y = x+2.

That part a little clearer?
 
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ohhhh I love letters in math especially in statistics!!!! There's n which is for sample size, Cohen's d for effect size. df for degrees of freedom and x for sample mean. And then there is the Greek letters (I think that's what their are called). μ (mew) for population mean and σ (sigma) for standard deviation. Lets just say that there is a ton of letters in stats 🙂:soexcited:

Okay if there are specific correlations between certain symbols, letters and meanings in working out maths equations then I could probably work through something like that...eventually, if I worked at it.

Whether it's a letter or a number, they are all values. Imagine they are all letters. The ones with numerals (3, 5) are the ones we have values for. The ones with letters are ones we don't have values for yet. It's a placeholder for a value that you intend to discover.

I'd probably find it easier to understand if the letters stood for something comprehensible - like 'UV' for unknown value or something similar. And once they have a value why are they still letters, why don't they just become numbers and stay that way?
 
OK so this is long and might get some groans, but it just seemed too apropos (variables and mental health combined) not to share. It's not great—a lot of competing metaphors—but not bad either. A poem I wrote back in 2010:

the unattended party

i get stuck
in residual resins,
my body's tacky;
mind is muddy.

i can't say it's x,
so you'd understand what i'm a function of,
i can't say it's x
because it is x, an unknown variable,
i'm always trying to solve for.

f(x)
= chin-scraping, head-banging falls into crevasses.

i need time
to be reset.
i need more time than i want to take.
i need more time as the party starts,
and i want to go.

i fell,
but i was going,
i fell so hard,
but i wanted to go!

before i fell,
i walked blind and quick,
neither looking behind or ahead,
the way you swallow hard
dart your tongue
collect your spit
swallow harder
and try to forget,
when you eat something bad.

i didn't want to wade the waters;
i wanted to skip like a stone,
getting the job of my life done
without me,
because if you can do that,
it's really not a bad existence.

but,
i fell,
but i was going,
i fell so hard,
but i wanted to go!

i wasn't planning to ignore myself;
it comfortably worked out that way,
until i fell.
who made me remember this crevasse,
who made me this monster,
who are you who put an engine where my heart was,
who ignited the engine,
pulverizing the unassuming clockwork,
the quiet automation,
of my life,
who = x, i'm solving for,
i'm prostrate to,
as the party goes on.

i'm sure there is good here,
if i stayed still to see,
crevasses can be beautiful,
but it's too much for me to take;
i'm closing my eyes,
climbing through the bad,
scratching at the icy margins,
trying to find automated life again,
a world that when i find it
will always be tainted:
a world of mixed worlds,
where i'm still in the residual resins
of f(x),
where the party's ending,
and x is still unknown.

my life is to walk,
hoping some times
x will not trip me,
as parties begin.
 
So it's like this. Think about it this way. You have a series of numbers: 9, 11, 13, 15, 17. Someone tells you "hey actually there are more numbers where those came from and they all follow the same pattern. Do you know what the next number is?"

Of course you do. It's 19, right? You're just adding two. Doesn't matter if it is 9 or 11 or 15 - just add 2 and you get the next number. If I ask you what the next number is after 923,681 and a half, you know what it's gonna be if it's in that series.

So it's be nice to be able to write that rule, y'know? Just add 2 regardless of what number you are looking at. How to write it concisely, though? The add 2 part is easy, just "+2", that's arithmetic. But how do you want to write " I don't know, whatever number you want, it doesn't make a difference"?

Obviously a specific number is not going to communicate this well. So you need a symbol, yeah?

In the tenth century, the Persian bureaucrats who had to do this kind of thing thought a letter would do nicely. You won't get confused and think we're talking about a rule that only applies to a specific number, because hey, a letter is clearly not a number.

When Italian merchants got the hang of this thinking in the fifteenth century for keeping books, they reckoned "x" was a pretty good letter.

That part a little clearer?

Kind of...I think, a little bit, maybe. Yeah it makes sense on one level, and on another my brain just scrambles it all up. I definitely think I need to look at improving my maths comprehension over all (which I was going to do anyway before I even admitted something like studying medicine, at least an undergrad course with prerequisite courses will give me a chance to do that).

edited to add: I think my biggest problem is I overthink this, like way over think it.
 
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OK so this is long and might get some groans, but it just seemed too apropos (variables and mental health combined) not to share. It's not great—a lot of competing metaphors—but not bad either. A poem I wrote back in 2010:

the unattended party

i get stuck
in residual resins,
my body's tacky;
mind is muddy.

i can't say it's x,
so you'd understand what i'm a function of,
i can't say it's x
because it is x, an unknown variable,
i'm always trying to solve for.

f(x)
= chin-scraping, head-banging falls into crevasses.

i need time
to be reset.
i need more time than i want to take.
i need more time as the party starts,
and i want to go.

i fell,
but i was going,
i fell so hard,
but i wanted to go!

before i fell,
i walked blind and quick,
neither looking behind or ahead,
the way you swallow hard
dart your tongue
collect your spit
swallow harder
and try to forget,
when you eat something bad.

i didn't want to wade the waters;
i wanted to skip like a stone,
getting the job of my life done
without me,
because if you can do that,
it's really not a bad existence.

but,
i fell,
but i was going,
i fell so hard,
but i wanted to go!

i wasn't planning to ignore myself;
it comfortably worked out that way,
until i fell.
who made me remember this crevasse,
who made me this monster,
who are you who put an engine where my heart was,
who ignited the engine,
pulverizing the unassuming clockwork,
the quiet automation,
of my life,
who = x, i'm solving for,
i'm prostrate to,
as the party goes on.

i'm sure there is good here,
if i stayed still to see,
crevasses can be beautiful,
but it's too much for me to take;
i'm closing my eyes,
climbing through the bad,
scratching at the icy margins,
trying to find automated life again,
a world that when i find it
will always be tainted:
a world of mixed worlds,
where i'm still in the residual resins
of f(x),
where the party's ending,
and x is still unknown.

my life is to walk,
hoping some times
x will not trip me,
as parties begin.

Wow, have you ever tried to get any of your work published, because this is really good. 🙂 I know it's a poem as well, but why does the x have a bracket around it after the f?
 
I'd probably find it easier to understand if the letters stood for something comprehensible - like 'UV' for unknown value or something similar. And once they have a value why are they still letters, why don't they just become numbers and stay that way?
They're completely arbitrary. You can make it UV.

And you're right, once you know a variable's value you can plug it into any other equation where it may have been previously unknown, which will help you find other variables' values.

We're probably confusing you.

What psychmajor mentioned is nomenclature.

What clausewitz mentioned reminds me more of a series where you write out what function you want to do to numbers through a certain range that you might want to add, for example. I'm not sure what you call that. I've been out of math for a long time.

And what I was talking about is using letter variables for the purpose of solving simple equations--mainly because that's what I remember most from math and is one of the few things from math I still use.
 
Wow, have you ever tried to get any of your work published, because this is really good. 🙂 I know it's a poem as well, but why does the x have a bracket around it after the f?
Oh, thank you! Never tried publishing. I got better after 2010 with being concise and did win a student contest once.

f(x) is just nomenclature that means function of x.

y is sometimes used to denote the same thing, although that's kind of confusing, and I may have this wrong. Btw, I have not done any math since high school (2001 graduate), so if I have anything wrong, I hope someone corrects me.

So, to piggyback on what clausewitz said, a function is what you want to do to a number. So, if I want to double a number and add 2, I would write f(x)=2x +2.

X can be any number and dictates what the function outputs. So in a way, you can think of f as being what's on the right side of the equation and whatever follows the brackets as being the number that is put into the function.
 
They're completely arbitrary. You can make it UV.

And you're right, once you know a variable's value you can plug it into any other equation where it may have been previously unknown, which will help you find other variables' values.

We're probably confusing you.

What psychmajor mentioned is nomenclature.

What clausewitz mentioned reminds me more of a series where you write out what function you want to do to numbers through a certain range that you might want to add, for example. I'm not sure what you call that. I've been out of math for a long time.

And what I was talking about is using letter variables for the purpose of solving simple equations--mainly because that's what I remember most from math and is one of the few things from math I still use.

No, not confusing actually, helping. Very gradually, but it is helping. I think this is going to be more like something that a little tiny piece falls into place at a time for me, rather than someone just explaining it and me going 'My gods, it's all so clear to me now!'. 😀

Put it this way, my difficulties with maths meant that I didn't go beyond what I think would be the equivalent of freshman second year in the States, and to even get through that one year I required pretty intensive after school tutoring just to scrap by with a barely passing grade. Throw almost anything else at me and I'll either understand it implicitly, or be able to work it out within a reasonable space of time (or form a fairly solid working theory) -- but maths, that's like a whole 'nother ball game to me.
 
Oh, thank you! Never tried publishing. I got better after 2010 with being concise and did win a student contest once.

f(x) is just nomenclature that means function of x.

y is sometimes used to denote the same thing, although that's kind of confusing, and I may have this wrong. Btw, I have not done any math since high school (2001 graduate), so if I have anything wrong, I hope someone corrects me.

So, to piggyback on what clausewitz said, a function is what you want to do to a number. So, if I want to double a number and add 2, I would write f(x)=2x +2.

X can be any number and dictates what the function outputs. So in a way, you can think of f as being what's on the right side of the equation and whatever follows the brackets as being the number that is put into the function.

Okay so with that equation thingy whatever the correct term for it is, if the function of X is to be 2, then you'd put a 2 after the 2 that's already there, which means it becomes 22, so that means f(x) =22+2 which gives an answer of 24. So wait how did the function of X just become 24, is that because 24 can still be divided by 2?
 
Okay, it's dinner time here and I need to prepare something so I will respond to any responses later. Thanks again for all the help and suggestions, if I don't identify and overcome my weak areas now then I might as well kiss any chance of successfully studying what I want to study goodbye, so all is appreciated. 🙂
 
Okay so with that equation thingy whatever the correct term for it is, if the function of X is to be 2, then you'd put a 2 after the 2 that's already there, which means it becomes 22, so that means f(x) =22+2 which gives an answer of 24. So wait how did the function of X just become 24, is that because 24 can still be divided by 2?

In the US we shorthand multiplication by just placing variables next to each other, so 2x is 2 times x.

So if x=2, and you start with f(x)=2x +2, then you plug the 2 in where the x is and get:

f(x)=2x2 +2
f(x)=6

I mentioned the y thing. Sometimes these are written where y is f(x). Now that I'm thinking back on my classes, I believe the reason is that you want to plot these on a 2-dimensional graph and y is always the vertical axis and x is always the horizontal axis. The height of y depends on the value of x. To be honest, no one actually ever told me what I was doing or why I was doing it, so I am sort of figuring this out in reverse, lol.

You'll do much better with an instructor in person. And remember: Learning as an adult, unless it's a foreign language, is so much easier. Fewer distractions, you care, you're interested, etc. A different ballpark.
 
My first thoughts when you mentioned wanting basic help with stats is that you probably need help with basic algebra. Further posts confirmed my hunch. Basic stats uses a lot of basic algebra. Stuff like Claus was saying but maybe even more basic such as x+2=10 or 2x+1=25. Solve for x. Add slightly more complex variations of these and do many of them until they become automatic. At that point, you can begin to move to the next step. It is hard for those who missed this rigorous practice in earlier life because many think they can "get it" without the same basic training that we provide to the kids. Mixed in with that are often a lot of self-defeating irrational thoughts. "I can't do math" "I am stupid", etc. Everyone can do math unless they are intellectually disabled. Just like anyone can learn to read. Obviously some people are better than others but everyone can do it. It just takes practice and proper scaffolding.
 
In the US we shorthand multiplication by just placing variables next to each other, so 2x is 2 times x.

So if x=2, and you start with f(x)=2x +2, then you plug the 2 in where the x is and get:

f(x)=2x2 +2
f(x)=6

I mentioned the y thing. Sometimes these are written where y is f(x). Now that I'm thinking back on my classes, I believe the reason is that you want to plot these on a 2-dimensional graph and y is always the vertical axis and x is always the horizontal axis. The height of y depends on the value of x. To be honest, no one actually ever told me what I was doing or why I was doing it, so I am sort of figuring this out in reverse, lol.

You'll do much better with an instructor in person. And remember: Learning as an adult, unless it's a foreign language, is so much easier. Fewer distractions, you care, you're interested, etc. A different ballpark.

My first thoughts when you mentioned wanting basic help with stats is that you probably need help with basic algebra. Further posts confirmed my hunch. Basic stats uses a lot of basic algebra. Stuff like Claus was saying but maybe even more basic such as x+2=10 or 2x+1=25. Solve for x. Add slightly more complex variations of these and do many of them until they become automatic. At that point, you can begin to move to the next step. It is hard for those who missed this rigorous practice in earlier life because many think they can "get it" without the same basic training that we provide to the kids. Mixed in with that are often a lot of self-defeating irrational thoughts. "I can't do math" "I am stupid", etc. Everyone can do math unless they are intellectually disabled. Just like anyone can learn to read. Obviously some people are better than others but everyone can do it. It just takes practice and proper scaffolding.

Ooh, okay I can do the x+2=10 problem, x is 8, right? The second one took me a while (I've been coming back to it for the past couple of hours) but I think I finally got the answer as 12. Birch's explanation of what to do in terms of multiplying definitely helped. This is all very helpful, and I'm starting to think I might need to start off with a foundations maths course before I go ahead and try and do the stats101 prereq for the psych course. That would work our nicely actually, 3-6 months of foundation maths, then 3-6 months of prepatory prerequisite stat studies (along with basic principals of psychology). Both together means it gives me enough time to wait and see what happens at our next election (please, please, pretty please let our current government be voted out) before making any final decisions/enrolment plans for 2017. 👍

Okay that's the logical, 'Look at me,I'm adulting' part above...the more childish side of me is currently throwing an inner tantrum, because 'this is so not fair, I just wanna be a Doctor and help people' :arghh::arghh::arghh:
 
Stanford offers some free online courses.

Statistical Reasoning

https://lagunita.stanford.edu/courses/OLI/StatReasoning/Open/about

Probability and Statistics

https://lagunita.stanford.edu/courses/OLI/ProbStat/Open/about

Throughout the course there are many interactive elements. These include: simulations, “walk-throughs” that integrate voice and graphics to explain an example of a procedure or a difficult concept, and, most prominently, interactive activities in which students practice problem solving, with hints and immediate and targeted feedback.

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Now that I was reminded of this - Ceke, check out the statistics course on Udacity (typing from my phone, too lazy to post the link, sorry). Other major online learning platforms (Stanfird Online, as mentioned above, Coursera, edX) all have several stats classes each, but those classes tend to be higher level and more math focused. The Udacity statistics course, on the other hand, is kind of "common sense statistics" that explains statistics concepts without delving into much math.
 
Stanford offers some free online courses.

Statistical Reasoning

https://lagunita.stanford.edu/courses/OLI/StatReasoning/Open/about

Probability and Statistics

https://lagunita.stanford.edu/courses/OLI/ProbStat/Open/about

Throughout the course there are many interactive elements. These include: simulations, “walk-throughs” that integrate voice and graphics to explain an example of a procedure or a difficult concept, and, most prominently, interactive activities in which students practice problem solving, with hints and immediate and targeted feedback.

View attachment 200654

Now that I was reminded of this - Ceke, check out the statistics course on Udacity (typing from my phone, too lazy to post the link, sorry). Other major online learning platforms (Stanfird Online, as mentioned above, Coursera, edX) all have several stats classes each, but those classes tend to be higher level and more math focused. The Udacity statistics course, on the other hand, is kind of "common sense statistics" that explains statistics concepts without delving into much math.

Some of these look promising, can any of these courses be accessed internationally? I see the Stanford ones say they're 'free' to the public, but is that just the US public? There's a Udacity course on Visualising Algebra which apparently requires little more than a knowledge of multiplication tables (check) and an ability to add and subtract integers (huh?), that looks more on the level that I'm at right now before moving onto statistics based stuff. But I'm in Australia, so not sure if I can access US based programs?

Thanks for the suggestions. 🙂
 
Ceke, this is the course I was talking about: https://www.udacity.com/course/intro-to-statistics--st101
I've never tried accessing any of these courses outside of the US myself, but the whole idea of MOOCs is free easily accessible education for the world, and in the Coursera classes I took there were plenty of students from other countries. You should be able to access this from Australia, just give it a try.
 
Some of these look promising, can any of these courses be accessed internationally? I see the Stanford ones say they're 'free' to the public, but is that just the US public? There's a Udacity course on Visualising Algebra which apparently requires little more than a knowledge of multiplication tables (check) and an ability to add and subtract integers (huh?), that looks more on the level that I'm at right now before moving onto statistics based stuff. But I'm in Australia, so not sure if I can access US based programs?

Thanks for the suggestions. 🙂

The Stanford classes aren't for credit, so there should be no problem for international students. Just signup and see how it goes. I doubt you get blocked.
 
Stanford offers some free online courses.

Statistical Reasoning

https://lagunita.stanford.edu/courses/OLI/StatReasoning/Open/about

Probability and Statistics

https://lagunita.stanford.edu/courses/OLI/ProbStat/Open/about

Throughout the course there are many interactive elements. These include: simulations, “walk-throughs” that integrate voice and graphics to explain an example of a procedure or a difficult concept, and, most prominently, interactive activities in which students practice problem solving, with hints and immediate and targeted feedback.

View attachment 200654

This may now be my favorite image of all time.

Side note--I actually got away with using t-tests in my dissertation, and without my committee academically disowning me. I ran a dozen other things as well, but still count that amongst my greatest research accomplishments to date.

I think I have links for a few other online courses, but will have to hunt around for them. Might've been through MIT...?
 
Again thank you to everyone for the help and advice. :=|:-):

@AcronymAllergy Unless you think it would help others who may be perusing this thread, I think I have enough starting points and potential study programs to look at, so please don't trouble yourself, and thank you anyway. 🙂
 
Side note--I actually got away with using t-tests in my dissertation, and without my committee academically disowning me. I ran a dozen other things as well, but still count that amongst my greatest research accomplishments to date.

I'm still trying to sneak Roy's Largest Root into a manuscript one of these times.
 
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