Let X be any rectangular matrix. What is the trace of the crossproducts matrix, X'*X? Interestingly, you do not need to form the crossproducts matrix to compute the answer! It turns out that tr(X'*X) equals the sum of the squared elements of X. Theorem: For any matrix, X, the trace
In a previous article, I discussed the Wilcoxon signed rank test, which is a nonparametric test for the location of the median. The Wikipedia article about the signed rank test mentions a variation of the test due to Pratt (1959). Whereas the standard Wilcoxon test excludes values that equal μ0
If you are like me, you spend most of your day sitting. The average adult in the US spends 8-12 hours of their day sitting. Whether you are sitting because your work requires it or you have reduced mobility due to an injury or condition, you can improve overall fitness
From within PowerPoint, you can use the SAS menu available through SAS for Microsoft 365, to access SAS Visual Analytics reports' graphical visuals.
Wilcoxon's signed rank test is a popular nonparametric alternative to a paired t test. In a paired t test, you analyze measurements for subjects before and after some treatment or intervention. You analyze the difference in the measurements for each subject, and test whether the mean difference is significantly different
At SAS, where you start doesn’t have to be where you end; and there’s ample opportunity for internal career mobility. Ronaldo Aoki is a great example – since he started his career at SAS, he’s made multiple internal moves, and his most recent shift came with an exciting geographic move
A previous article discusses standardized coefficients in linear regression models and shows how to compute standardized regression coefficients in SAS by using the STB option on the MODEL statement in PROC REG. It also discusses how to interpret a standardized regression coefficient. Recently, a SAS user wanted to know how
Despite returning to a semblance of normalcy, research shows that a vast number of students still find themselves in the midst of a mental health crisis. It comes as no surprise to educators and parents alike, as the COVID-19 pandemic has wreaked havoc on relationships and social support – key
By simply logging into SAS Viya from Outlook, data visualizations can give you immediate information about key metrics and business performance through AI-powered explanations.
Do you have fond childhood memories of eating marshmallowy, chocolatey or fruity bowls of breakfast cereal and digging into those boxes for a new pencil topper, sticker or magical color-changing spoon? Do you also remember being hungry (dare I say hangry) within an hour or so of breakfast? What about
This weekend I was in the car with my son and his spouse, and they were listening to one of their new favorite bands. When they got to a song I liked, I asked my son to add it to my playlist. His spouse had never heard of this playlist
Traffic services, more specifically, unsafe driving, impact people every single day. According to the National Highway Traffic Safety Administration, nearly 43,000 people died in U.S. traffic crashes in 2021, the highest number in 16 years, with deaths due to speeding and impaired or distracted driving on the rise. Pedestrian fatalities
Have you ever been in a meeting and heard, “We should leave that to the IT department to figure out. That’s a system thing”? I have observed this attitude among insurance professionals my whole career. It was almost as if anything that had to do with IT systems was radioactive!
A previous article shows an example of a Markov chain model and computes the probability that the system ends up in a terminal state (called an absorbing state). As explained previously, you can often compute exact probabilities for questions about Markov chains. Nevertheless, it can be useful to know how
SAS takes its pledge to support US veterans and military families to heart. So, when the 2022 the PACT Act expanded Veterans Affairs (VA) health care and benefits for those exposed to toxic substances, a collective team at SAS pulled together to help inform the community. Expanding Care for Our
The need to use less energy is becoming critical to manufacturers worldwide. The transition to a clean energy economy drives new developments in the energy sector. Manufacturers must find ways to reduce energy use to stave off growing internal production costs and remain competitive. Let’s discuss why the global energy
Discover real-world tips for creating a winning collections strategy.
Mother Nature gives us everything we need. I have heard that statement more than once, especially as a naturopath. We just need to pay attention. When I needed a little calm in my life decades ago, I remember taking walks near my house and seeing passion flowers growing in the
Using SAS for Microsoft 365, you can enhance your Excel spreadsheets with additional insights from SAS Viya via one seamless integrated experience.
A previous article shows how to model the probabilities in a discrete-time Markov chain by using a Markov transition matrix. A Markov chain is a discrete-time stochastic process for which the current state of the system determines the probability of the next state. In this process, the probabilities for transitioning
I had the privilege of attending the Open Data Science Conference (ODSC) in London and it was an incredibly enriching experience. Immersed in a gathering of like-minded professionals and experts, ODSC provided a captivating platform to delve into the latest advancements in the field of data science. From exploring the
A close look at the first of five DevOps ideals in Gene Kim's book, “The Unicorn Project."
In summer 2020, we launched our strategic partnership with Microsoft, announcing our plan to work together to help our customers. With world-class data and analytics, we are helping them solve their most critical business challenges using SAS® Viya® on Microsoft Azure. In just three short years, we’ve made tremendous strides toward our
After years of disruption, the insurance industry has its sights set on change – the problem is that transformation often feels out of reach, or firms don’t know where to start. From speaking to our customers, we know that many want to embrace innovative technologies but remain stuck with costly
Insurers have faced significant headwinds in the last few years. The insurtech market continues to grow, even if it’s had the wind taken out of its sails recently due to funding for start-ups drying up and following the collapse of Silicon Valley Bank. But another contender and digital disruptor has
I was recently asked to be on the jury for the Asia-Pacific track of the 2023 SAS Hackathon. As many of my colleagues have said before, judging the hackathon is a great experience. We were exposed to lots of innovative ideas about how to apply AI and analytics to a wide
The 2023 International Congress of Actuaries (ICA2023) brought together industry leaders and actuaries worldwide to explore the challenges and opportunities for actuaries. Over the years, SAS has emerged as a variance and regression analysis software, revolutionising the actuarial field. Since then, it has evolved into SAS Viya 4.0, a cloud-native
By now, you know that each color of the rainbow – red, orange, yellow, green, blue and purple – provides a unique set of nutrients and health benefits. No one color is superior to another which is why it’s important to paint your plate with as many colors as possible. As
Given a set of N points in k-dimensional space, can you find the location that minimizes the sum of the distances to the points? The location that minimizes the distances is called the geometric median of the points. For univariate data, the "points" are merely a set of numbers $${p_1,
This July I'm refreshing the previous Strengthening Your Relationship email series from 2021. The email series offers quick ideas and information within three categories: research and insight, questions for closeness, and weekend activity ideas. As I revisit this content I was reminded of the weekly meeting practice I wrote about
