Difference between applied statistics and mathematical statistics.

In summary: Most people who do data analysis in business don't need a degree in mathematics or statistics. A degree in business, computer science, or statistics will help you understand the business and how the data affects it, but you don't need to have a degree in mathematics or statistics to do data analysis.
  • #1
RufusDawes
156
0
What is the difference between applied and mathematical statistics ?

Does applied statistics skip a great deal of necessary knowledge ?

Is applied statistics enough to construct statistical models?
 
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  • #2
Are you referring to university classes? They probably differ between schools, so I'm not sure you'll get an accurate answer.

In the workplace I've never heard anyone distinguish between those two things - you're either doing statistical modeling or you're not. The reality is you won't learn how to do it well in university classes, period, so just keep that in mind.
 
  • #3
I have a job but the analysis is mostly just data extraction and the models are just simulation (or classical models). I would not call it statistical analysis or modelling but I don't really know what I am talking about either.

We've got people like me without much of an education and then we've got people with masters degrees in engineering and even though I consider that my work place is full of incompetents, the people with the strong mathematical background produce better solutions to problems.

To be blunt, I can't see how another mickey mouse degree (only this time in 'statistics') is goign to help. I don't really know what 'mickey mouse' would be either. If I need to know how to do something I just look it up and there is usually a computer package that does it for me.

http://en.wikipedia.org/wiki/Exponential_smoothing
http://en.wikipedia.org/wiki/T_test

I like this sort of basic data/statistics stuff, so I'd like to keep doing it but I don't really know anything about it beyond my first job in the field. I don't think I'd be highly employable without at least some sort of math or stat degree and it is bad to have all your eggs in one basket by depending on having the one job forever.
 
  • #4
I work as data analyst in a business setting and I can tell you that while useful, statistics training is just too far out there for ordinary projects. Lots of time you need to perform data extraction and have solid knowledge of what you're extracting from the system. This is valued far more than ability to use package (like say R or SAS) and analyze for distribution of some metric, say. This kind of approach is suitable for a Ph.D. level researcher, and then you're just talking about a different caliber job all together.
 
  • #5
Monte_Carlo said:
I work as data analyst in a business setting and I can tell you that while useful, statistics training is just too far out there for ordinary projects. Lots of time you need to perform data extraction and have solid knowledge of what you're extracting from the system. This is valued far more than ability to use package (like say R or SAS) and analyze for distribution of some metric, say. This kind of approach is suitable for a Ph.D. level researcher, and then you're just talking about a different caliber job all together.

Thanks for the advice. In terms of data extraction and manipulation SAS is very similar to SQL. In fact you can write SQL code in SAS using proc SQL, which is the preferred way of extracting DATA. It is also very easy to output data into a presentable format using SAS ODS.

I do a lot of extraction and manipulation of data.

What you are describing sounds like the kind of career path I want to follow. I fell into this job and I like it and it pays well so I want to be able to move onto new jobs and stay employable. For this I think I need some quantitative tertiary qualification because most adverts will specify that as a requirement.

How do you extract data ?

For roles such a Credit risk analyst or portfolio analyst is this mostly heavy math, or data analytics based ?
 
  • #6
Staying employed is always tough, more so in the white-collar occupations such as the one both you and I are gravitating toward. One thing I should make clear about myself: I do data analysis for middle management for a middle-sized company. From my readings on scientific data analysis and quantitative finance, I understand "Data Analyst" to be a very inclusive title. I've gotten my job because of an ad-hoc opportunity - there was a need for person who would know computer programming (e.g. VBA, SQL, T-SQL, C++, etc) and who would be willing to learn the business logic. And all of that in a cost-neutral way. I simply happened to be there at a fortunate time.

In my market, a larger-sized company would hire from a dedicated pool of graduates boasting degree titles such as masters in computer science, statistics, MBA, etc. All of these are bloated for the task of management data analysis. In fact, I believe that most valuable skill in business analytics is ability to forge human relationships and fortify them with quantitative data (i.e. reports, presentations, etc.) That task requires more conceptually, boundlessly cogitating mind, rather than a technically oriented individual. After the idea is formulated, one defines the data they need. Then they learn which systems capture the data and which tables contain it. Then the table structure and data model is turned to numbers in Excel.

To answer your question, I use MS Access, Excel and Powerpoint to do most of my job. Often I use VBA to make reports pretty. Sometimes I use T-SQL on SQL Server because some queries take inordinate amount of time when executed from MS Access. Every now and then I'd have to pore through a T-SQL code of a professional developer to understand where the data comes from. Also, I know R pretty well, but don't get to use it all that much - it's more of an explorative tool.

I'd like to hear your part of the story. I'm curious to know what tools are used in the larger realm of data analysis. I believe financial data analyst to be a wild beast compared to what I've described above. Also, pharmaceutical drug trial and similar studies involve SAS programming which can get very complex - and, hence, exciting.

I don't mean to be nagging, but regardless of how exciting it is, I'd always be ready to take a deep dive into low-wage economy.
 
  • #7
Well to be honest I'm just trying to find my way in the big bad world. I've always liked numbers and math but I get confused with complicated concepts and I've never taken mathematics at university level because I've never had the right amount of time to dedicate to it. Now that I've got a more stable well paying fulltime job I've been thinking about taking maybe one or two units a term.

My job is mostly data extraction and manipulation using SAS/SQL. From this data we develop reports for various people and data extractions based on requests from within the organisation. We use the data to determine future costs and revenues. This involves using basic forecasting techniques, and extraction and manipulation to get to more of a best guess, on my side of things anyway.

A lot of it really just is pull the numbers out of the data-base, make it into a pretty table in excel, write some words, do some more tables and email it. I spend a lot of my time either wondering how the hell I'm going to get my work done in the small time frame or being bored and learning new and interesting ways to do things better.

I like watching how the data collapses into usable information and seeing the trends and knowing what the results will be in the end so I want to stick to this sort of work.

I've seen there are various jobs in finance such as credit risk modelling or portfolio analysis. I'd like to get into something like that in the next 3-5 years if I've got the ability. Which is where I am stuck on if I should get a tertiary and what I should do and if I have the ability to do it.

How I ended up in this role was pure chance. I got a job doing some other **** this one opened up and I applied for it. The people doing the hiring knew me, they liked me and knew I was the kinda person who would enjoy this sort of work so they hired me.

But yes, I am really just trying to nut out some basic skills and stay employed.
 
  • #8
I think your future in this line of work depends on reasons you signed up for it.

In my case, working with numbers in Excel/VBA and massaging data in Access/SQL Server was far more to my liking than being on the phones in Cust. Serv. Also, it looks more natural with my biology background, although many ordinary people don't make a distinction between analytical and life sciences. When I find myself having to conjure up a nice story explaining how I wound up in my role, I try to invoke an idea that it's appropriate for modern biologist to be familiar with the techniques of data analysis. Of course I know I'm prevaricating - biology has little to do with data analysis - but at least it puts my academic background into some perspective.

Down the road I see dim prospects. Most people in management are there for management, i.e. they see it as an ultimate fulfillment of their career aspirations. Certainly I don't see management in that way. I find my work rather circumstantial to the enterprise of backstabbing, gossiping and compelling peers to see numbers and charts in a way advantageous to some big shot. I'd much rather work with financial transactions because there is a meaning to them: finance is the lifeblood of any business.

In my opinion, SAS training confers an advantage, but you've got to stay mobile: many jobs in science/engineering/technology require relocation to where the work is. I don't know if you're in Australia, but here in the states, it's pretty much a reality. Since you're around 27, you should be ok with that, but as you get older, it can become a problem. I'd suggest staying away from long-term financial obligations, e.g. debts, mortgages, etc that are unrelated to education. Basically you need to work hard and get lucky at the same time.
Sounds like you're interested more in the scientific/technical part of it all (like myself.) If that's the case, you'll soon realize that without Ph.D. and experience there is a glass ceiling. Most quant jobs I see require Ph.D. in Comp. Sci. / Math / Physics and years of experience.

Perhaps you should consider career in clinical data analysis for pharmaceutical trials. Let me know your thoughts on this.
 
  • #9
Monte_Carlo said:
I think your future in this line of work depends on reasons you signed up for it.

In my case, working with numbers in Excel/VBA and massaging data in Access/SQL Server was far more to my liking than being on the phones in Cust. Serv. Also, it looks more natural with my biology background, although many ordinary people don't make a distinction between analytical and life sciences. When I find myself having to conjure up a nice story explaining how I wound up in my role, I try to invoke an idea that it's appropriate for modern biologist to be familiar with the techniques of data analysis. Of course I know I'm prevaricating - biology has little to do with data analysis - but at least it puts my academic background into some perspective.

Down the road I see dim prospects. Most people in management are there for management, i.e. they see it as an ultimate fulfillment of their career aspirations. Certainly I don't see management in that way. I find my work rather circumstantial to the enterprise of backstabbing, gossiping and compelling peers to see numbers and charts in a way advantageous to some big shot. I'd much rather work with financial transactions because there is a meaning to them: finance is the lifeblood of any business.

In my opinion, SAS training confers an advantage, but you've got to stay mobile: many jobs in science/engineering/technology require relocation to where the work is. I don't know if you're in Australia, but here in the states, it's pretty much a reality. Since you're around 27, you should be ok with that, but as you get older, it can become a problem. I'd suggest staying away from long-term financial obligations, e.g. debts, mortgages, etc that are unrelated to education. Basically you need to work hard and get lucky at the same time.
Sounds like you're interested more in the scientific/technical part of it all (like myself.) If that's the case, you'll soon realize that without Ph.D. and experience there is a glass ceiling. Most quant jobs I see require Ph.D. in Comp. Sci. / Math / Physics and years of experience.

Perhaps you should consider career in clinical data analysis for pharmaceutical trials. Let me know your thoughts on this.

Sounds like you paint a pretty dim picture. The job market might be somewhat different in Australia as I understand the US has around 10% unemployment. What you are describing makes me seem content to stay in the my job for a long time as it is secure and interesting.

But as I said, I fell into this role, it is a job which I rather enjoy but I haven't / am cautious to invest a large amount of eduction into it.

Not sure what I'll end up doing long term, hopefully this, maybe something else.

Working in an office is good. You get used to the easy work and high pay which might make it harder to transition to other jobs.
 
  • #10
Working in an office environment confers a false sense of security. You should visit bowels of the organization and remind yourself that one day you may end up there.

After reviewing SAS job market, I'm under the impression that, at least in US, most employers want an experienced SAS user. However, SAS training is far from free. I've heard that some companies hire data analysts and make them learn SAS in-house. Of course the costs of training are incurred by the company, not employee.

What was your SAS experience prior to filling the current role? Did you learn SAS on-site or did you obtain the training someplace else?
 
  • #11
Monte_Carlo said:
Working in an office environment confers a false sense of security. You should visit bowels of the organization and remind yourself that one day you may end up there.

After reviewing SAS job market, I'm under the impression that, at least in US, most employers want an experienced SAS user. However, SAS training is far from free. I've heard that some companies hire data analysts and make them learn SAS in-house. Of course the costs of training are incurred by the company, not employee.

What was your SAS experience prior to filling the current role? Did you learn SAS on-site or did you obtain the training someplace else?

SAS is not a terribly difficult language to learn. You can easily learn it within about a month but still not master it after 10 years.
 

What is the difference between applied statistics and mathematical statistics?

Applied statistics is the use of statistical methods and tools to solve real-world problems and make data-driven decisions. It involves the application of statistical concepts and techniques to analyze and interpret data in various fields such as business, healthcare, and social sciences. Mathematical statistics, on the other hand, is the theoretical study of probability and statistics. It focuses on developing and proving mathematical theories and models for statistical analysis.

What are the main objectives of applied statistics and mathematical statistics?

The main objective of applied statistics is to provide practical solutions to real-world problems by using statistical techniques to analyze and interpret data. It aims to help decision-makers make informed decisions based on data-driven insights. The main objective of mathematical statistics is to develop and prove mathematical theories and models for statistical analysis. It focuses on understanding the underlying principles and assumptions of statistical methods.

What are the key differences in the methods used in applied statistics and mathematical statistics?

Applied statistics relies on a variety of statistical methods and techniques such as descriptive statistics, inferential statistics, regression analysis, and data visualization to analyze and interpret data. It also involves the use of software tools and programming languages to process and analyze large datasets. Mathematical statistics, on the other hand, uses mathematical proofs and calculations to develop and validate statistical models and theories. It involves a more theoretical approach to data analysis.

What are some common applications of applied statistics and mathematical statistics?

Applied statistics has a wide range of applications in fields such as business, marketing, healthcare, social sciences, and environmental studies. It is used to analyze and interpret data to make informed decisions and solve practical problems. Mathematical statistics is commonly applied in academic research, especially in the fields of mathematics, economics, and engineering. It is also used in industries such as finance and insurance for risk analysis and prediction.

How do applied statistics and mathematical statistics work together?

Applied statistics and mathematical statistics are interrelated and both play a crucial role in data analysis. Applied statistics uses the theories and models developed in mathematical statistics to analyze real-world data and make meaningful conclusions. Mathematical statistics, on the other hand, relies on the practical applications of its theories to validate and refine them. Both fields complement each other and work together to provide a comprehensive understanding of data and its implications.

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