P-value on statistical tests If I have a p-value of 0.01 on a statistical test, does that mean the probability of my hypothesis being wrong is 1%?   If not, why not?
What is the meaning of p values and t values in statistical tests? After taking a statistics course and then trying to help fellow students, I noticed one subject that inspires much head-desk banging is interpreting the results of statistical hypothesis tests.  It seems that students easily learn how to perform the calculations required by a given test but get hung up on interpreting the results.  Many computerized tools report test results in terms of "p values" or "t values".  How would you explain the following points to college students taking their first course in statistics:   What does a "p-value" mean in relation to the hypothesis being tested?  Are there cases when one should be looking for a high p-value or a low p-value? What is the relationship between a p-value and a t-value?
Parse JSON using Python? How to force a node group input field to display a slider? I have created a couple of node groups with some "group-inputs-sliders" (The one called "Roughness" in the bottom picture). I would like it to have the blue-bar slider like the blender native ones. Thanks (: How to compute $\prod\limits^{\infty}_{n=2} \frac{n^3-1}{n^3+1}$ Macro for figure position? Why is the following minimal example not working?  I.e., what do I need to do, in order to define the float placement specifier of a figure within a macro? (I know that I should use \newcommand, but in the "full" example the error is part of an involved "superfigure" command. \newcommand is not working too btw.)  \documentclass{scrreprt} \usepackage{blindtext}  \def\PosNotWorking{h} \def\FramboxNotWorking{5cm} \def\CaptionWorking{Caption is working.}  \begin{document}  \Blindtext[1]  \begin{figure}[\PosNotWorking]   \centering     \framebox[5cm]{My special figure. (Pos: \PosNotWorking)}             \caption{\CaptionWorking} \end{figure}  \Blindtext[1]  \end{document}   If I compile this, the figure is at the top (default behaviour). If I enter \figure[h] instead of \figure[\PosNotWorking], the figure is of course between the two paragraphs. How to make a standalone document with one equation? LaTeX packages: automatic versus manual installation, and related issues I often run into problems in LaTeX with packages. I did a reinstall (MiKTeX) and it seemed to fix some issues with knowing where packages coming from or going. In general, I am not sure what should or does happen when using \usepackage command.  Is it standard that these packages are automatically pulled from the internet? Where do they go (by default)? Is there a better place to put them?  If I am troubleshooting, and if we can say packages are usually installed automatically, when, and should I ever, install packages manually? If so, where would I put them?  For instance, I believe the package easylist is installed on my computer. I was able, with some difficulty, to get into the roaming folder, looked around, and really the only package I saw, was several easylist files, such as .sty, and an associated readme file. I did a windows search for easylist, and only found one, with suffix .tpm and in the Program Files (x86)\MiKTeX 2.9\tpm folder.  My problem currently, is that I am trying to use the todonotes package. It seems to require the xcolor package. But this "can not be found". It asks to choose a place to get it. I think default was "choose random", but I just switched it to internet, and some random mirror site in country (USA). That didn't work, and I'm afraid I've now fiddled with the default settings for getting packages, which will create problems later.  Here are some other threads I have been fishing through:             In lieu of picture, I have this:    miktex-pdftex.exe: No connection could be made because the target machine actively refused it.  miktex-pdftex.exe: Data: connect failed in tcp_connect() {}======================================================================  ! LaTeX Error: File `xcolor.sty' not found.  Type X to quit or &lt;RETURN&gt; to proceed, or enter new name. (Default extension: sty)  Enter file name:    and from clipboard:    MiKTeX Problem Report Message: No connection could be made because the target machine actively refused it.  Data: connect failed in tcp_connect() Source: Libraries\MiKTeX\PackageManager\PackageManager.cpp Line: 2461 MiKTeX: 2.9 OS: Microsoft Windows 7 Home Premium Edition, 64-bit Service Pack 1 (build 7601) Invokers: explorer SystemAdmin: no PowerUser: no Root0: C:\Users\aUserName\AppData\Roaming\MiKTeX\2.9 Root1: C:\Users\aUserName\AppData\Local\MiKTeX\2.9 Root2: C:\ProgramData\MiKTeX\2.9 Root3: C:\Program Files (x86)\MiKTeX 2.9 UserInstall: C:\Users\aUserName\AppData\Roaming\MiKTeX\2.9 UserConfig: C:\Users\aUserName\AppData\Roaming\MiKTeX\2.9 UserData: C:\Users\aUserName\AppData\Local\MiKTeX\2.9 CommonInstall: C:\Program Files (x86)\MiKTeX 2.9 CommonConfig: C:\ProgramData\MiKTeX\2.9 CommonData: C:\ProgramData\MiKTeX\2.9    (from "Package Installation" window below)   The required file        tex\latex\xcolor\xcolor.sty  is missing. It is part of the following package:        xcolor  The package will be installed from:  ftp://... [Change...] The package will be installed for... Known proofs of Wirtinger's Inequality? For a while now I've noticed that if I take a cup of hot tea and pour it into two cups and leave it then both cups will cool faster than the single cup.  How is it that nature cools two cups of tea in parallel more quickly? It's still the same amount of tea but it gets cooled quicker if I have two cups. I want to install Win Xp on my Ideapad Z 570 laptop but i always get blue screen with message with some drive related problem which asks me to run CHKDSK command. I tried with that but no luck. Is there any way i can install Win Xp with SP 2 ?  Edit: i searched across the sites and came to know there could be some Compatibility problems, and i could fix it by setting HDD mode to IDE; will it solve the problem? What's the best way to extend the User model (bundled with Django's authentication app) with custom fields? I would also possibly like to use the email as the username (for authentication purposes).  I've already seen a   to do it, but can't decide on which one is the best. In the bash terminal I can hit Control+Z to suspend any running process... then I can type fg to resume the process.  Is it possible to suspend a process if I only have it's PID? And if so, what command should I use?  I'm looking for something like:  suspend-process $PID_OF_PROCESS   and then to resume it with  resume-process $PID_OF_PROCESS I need to get execution time in milliseconds.  I originally asked this question back in 2008. The accepted answer then was to use  However, we can all agree now  that using the standard  API is more appropriate. I am therefore changing the accepted answer to this one. What is the difference between I play and I do play?  For example:  If someone were to ask to me, do you play soccer? Benefits of Toad houses I have a few red Toads and a Toad is just hanging out in town. I see an option to buy a red Toad house, ostensibly for him. Are there any added benefits of purchasing this or are the colored Toad houses just cosmetic? Reduce Spacing In $$ In math, one often needs to put a letter inside the symbols &lt;&gt;, e.g. to denote a cyclic group &lt;x&gt; generated by some element x. However, plain text displays the symbols &lt; and &gt; as an upside down exclamation point and an upside down question mark, respectively, while math type displays a large space like so:  &lt; x &gt;    Is there some way to reduce this spacing? Consider a database table holding names, with three rows:  Peter Paul Mary   Is there an easy way to turn this into a single string of Peter, Paul, Mary? I use a lot of lists and arrays but I have yet to come across a scenario in which the array list couldn't be used just as easily as, if not easier than, the linked list.  I was hoping someone could give me some examples of when the linked list is notably better. Are matrices and second rank tensors the same thing? Tensors are mathematical objects that are needed in physics to define certain quantities. I have a couple of questions regarding them that need to be clarified:   Are matrices and second rank tensors the same thing? If the answer to 1 is yes, then can we think of a 3rd rank tensor as an ordered set of numbers in 3D lattice (just in the same way as we can think of a matrix as an ordered set of numbers in 2D lattice)? Grandi's Series; tends to $1/2$, but why is this considered a valid sum? Grandi's series,  $$1+1-1+1-1+1-1+...$$  can be expressed as the below:  $$\sum_{n=0}^\infty(-1)^n$$  Two valid sums that make sense to me are $1$, and $0$, depending on how you approach the series. $(1+1)-(1+1)-(1+1)-...=0$, and $1+(1-1)+(1-1)+(1-1)+...=1$.  There is consensus, however, that the actual sum is $\frac{1}{2}$. Why? I understand the approach of finding partial means of the series, and they do indeed tend to $\frac{1}{2}$, but it seems unintuitive to assert that the sum is neither $1$ or $0$.  A more convincing method I found was assuming the series is $S$, then shifting it such that $S-1 = S$, then through algebra finding $S = \frac{1}{2}$, but again, it seems more intuitive answer is either $0$ or $1$. I say this strictly because adding and subtracting integers should equal an integer, never a fraction.  Is this a characteristic of infinite series, which is not specific to Grandi's series? Is it possible to do a cross page POST to an ASP.NET, from a static HTML form?