Intro to Statistics: Will It Prepare for Physics?

Click For Summary
SUMMARY

The discussion centers on the adequacy of an introductory statistics course for preparing students for undergraduate statistical physics and thermodynamics. Participants agree that a basic understanding of probability theory is essential, as statistical physics primarily involves analyzing experimental data rather than advanced statistical theory. While a superficial grasp of statistics may suffice for initial coursework, a deeper knowledge of probability and descriptive statistics is recommended for better performance in statistical mechanics. The consensus emphasizes that familiarity with various random variables and data analysis techniques is crucial for success in future physics classes.

PREREQUISITES
  • Basic understanding of probability theory
  • Familiarity with descriptive statistics
  • Knowledge of discrete and continuous random variables
  • Experience in data analysis techniques
NEXT STEPS
  • Study the basics of probability theory for statistical physics
  • Learn about standard discrete random variables, including Bernoulli and Poisson distributions
  • Explore standard continuous random variables, such as Normal and Chi-square distributions
  • Practice summarizing data sets using both numerical and graphical methods
USEFUL FOR

Students in physics and related fields, particularly those preparing for statistical mechanics and thermodynamics courses, as well as educators looking to enhance their curriculum in statistics and probability theory.

xdrgnh
Messages
415
Reaction score
0
I'm currently taking a intro to statistics class. It's a quarter class so it just started a week ago. I got a lot going on this semester so after taking the class I feel I'll only have a computational aspect for statistics. I won't know much about the theory because I know I won't have much time to study it. Is only knowing a formulas and there meanings in statistics enough to get by a undergrad thermo and statistical physics class that I will take in the future.
 
Last edited:
Physics news on Phys.org
The term "statistical" physics is somewhat misleading. You need to know some probability, but it's not really statistical. The role of statistics in physics, as in other sciences, is predominantly for analyzing experimental data.
 
xdrgnh said:
I'm currently taking a intro to statistics class. It's a quarter class so it just started a week ago. I got a lot going on this semester so after taking the class I feel I'll only have a computational aspect for statistics. I won't know much about the theory because I know I won't have much time to study it. Is only knowing a formulas and there meanings in statistics enough to get by a undergrad thermo and statistical physics class that I will take in the future.

homeomorphic said:
The term "statistical" physics is somewhat misleading. You need to know some probability, but it's not really statistical. The role of statistics in physics, as in other sciences, is predominantly for analyzing experimental data.
Homeomorphic is right. It's predominantly probability theory.

There is probably much overlap between probability and statistics in an intro course. Are you covering combinatorics? Different distributions? What is the course covering?
 
A basic understanding of probability theory is the minimum you need to know in order to do statistical physics, but if you can manage it I think taking a full statistics course is something every scientist should do. Analyzing data - simulation or experimental - is a vital skill, and the more of a command you have over data analysis the better the conclusions you can draw from your data. Again, this is true for both experimental and simulation data analysis.

Advanced statistical theory is not necessary for an undergraduate level, or perhaps even a basic graduate level, statistical physics course, but if you go on to study statistical physics in grad school I think it would be helpful.
 
Understand the basics of probability theory
 Summarize basic descriptive statistics of a given data set, both numerically and graphically
 Obtain a solid understanding of all standard discrete random variables, including Uniform, Bernoulli, Binomial, Geometric, Negative Binomial, Hyper-geometric, and Poisson random variables
 Obtain a solid understanding of all standard continuous random variables, including Uniform, exponential, Gamma, Chi-square, and Normal random variables
 Apply knowledge of random variables to solve real application problems

It's only a quarter long so that is why what it covers is limited. My problem is that I got a lot of stuff going on so I only got time to get a superficial understanding of the course material. Will that superficial plug and chug knowledge of statistics give me the tools to do well in statistical physics class. In physics class I never have a plug and chug mentality. It's only that I wanted to drop this course but can't because I class that I took was before which I thought was 4 credits is now 3.
 
Check the syllabus for your department's statistical physics/mechanics class. It will probably cover the basics of probability theory and statistics that you need for the course. If you have to drop your statistics course, you probably won't end up behind in stat mech, but if you don't have to drop it you might be able to stay a little bit ahead.
 
xdrgnh said:
It's only a quarter long so that is why what it covers is limited. My problem is that I got a lot of stuff going on so I only got time to get a superficial understanding of the course material. Will that superficial plug and chug knowledge of statistics give me the tools to do well in statistical physics class. In physics class I never have a plug and chug mentality. It's only that I wanted to drop this course but can't because I class that I took was before which I thought was 4 credits is now 3.
Keep in mind, more probability theory is better for statistical mechanics but most people who take statistical mechanics, be it at an undergraduate or graduate level, have not taken a dedicated course on probability or statistics. Math wise, this course is more than enough to survive a first course.
 

Similar threads

  • · Replies 32 ·
2
Replies
32
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 9 ·
Replies
9
Views
5K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
41
Views
7K