Quantitative Thinking Improves Mental Alertness

It’s been a while since I’ve posted here. Writer’s block, I guess. I was hoping to come up with some new angle on library statistics. But to be honest, I haven’t been able to shake the quantitative literacy kick I’ve been on. I believe that quantitative literacy/numeracy is important in this era of data-driven, evidence-based, value-demonstrated librarianship. Especially when much of the data-driving, evidence-basing, and value-demonstrating has been undermined by what I’ll call quantitative deficit disorder. Not only has this disorder gone largely undiagnosed among library advocacy researchers and marketing afficionados, it has also found its way to their audiences. You may even have a colleague nearby who suffers from the disorder.

The most common symptoms among library audiences are these: When presented with research reports, survey findings, or statistical tables or graphs, subjects become listless and unable to concentrate. Within seconds their vision begins to blur. The primary marker of the disorder is an unusually compliant demeanor. Common subject behavior includes visible head-nodding in agreement with all bullet points in data presentations or executive summaries. In severe cases, subjects require isolation from all data-related visual or auditory stimuli before normal cognitive processes will resume.

The only known therapeutic intervention for quantitative deficit disorder is regular exercise consisting of deliberate and repetitive quantitative thinking. Thankfully, this intervention has been proven to be 100% effective! Therefore, I have an exercise to offer to those interested in staving off this disorder.  [Read more]

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If You Plug Them In They Will Come

In their book What the Numbers Say Derrick Niederman and David Boyum say that the way to good quantitative thinking is practice, practice, practice! In this spirit I offer this post as another exercise for sharpening the reader’s numeracy skills.

A couple of months back I presented a series of statistical charts about large U.S. public library systems. Sticking with the theme of large public libraries, I thought I’d focus on one in particular, The Free Library of Philadelphia. This is because the PEW Charitable Trusts Philadelphia Research Initiative did an up-close analysis of The Free Library in 2012. So this post is a retrospective on that PEW report. Well, actually, on just this graph from the report:

PEW Philadelphia Report Bar Chart

Source: The Library in the City, PEW Charitable Trusts Philadelphia Research Initiative.  Click to see larger image.

The PEW researchers interpreted the chart this way:

Over the last six years, a period in which library visits and circulation grew modestly, the number of computer sessions rose by 80 percent…These numbers only begin to tell the story of how the public’s demands on libraries are changing.1

The implication is that because demand for technology outgrew demand for traditional services by a factor of 8-to-1, The Free Library should get ready to plug in even more technological devices! This plan may have merit, but the evidence in the chart does not justify it. Those data tell quite a different story when you study them closely. So, let’s do that.  [Read more]

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1  PEW Charitable Trusts Philadelphia Research Initiative,The Library in the City: Changing Demands and a Challenging Future, 2012, p. 10.

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Averages Gone Wrong

In this post I’ll be telling a tale of averages gone wrong. I tell it not just to describe the circumstances but also as a mini-exercise in quantitative literacy (numeracy), which is as much about critical thinking as it is about numbers. So if you’re game for some quantitative calisthenics, I believe you’ll find this tale invigorating. Also, you’ll see examples of how simple, unadorned statistical graphs are indispensable in data sleuthing!

Let me begin, though, with a complaint. I think we’ve all been trained to trust averages too much. Early in our school years we acquiesced to the idea of an average of test scores being the fairest reflection of our performance. Later in college statistics courses we learned about a host of theories and formulas that depend on the sacrosanct statistical mean/average. All of this has convinced us that averages are a part of the natural order of things.

But the truth is that idea of averageness is a statistical invention, or more accurately, a sociopolitical convention.1 There are no such things as an average student, average musician, average automobile, average university, average library, average book, or an average anything. The residents of Lake Wobegon realized this a long time ago!

Occasionally our high comfort level with averages allows them to be conduits for wrong information. Such was the case for the average that went wrong found in this table from a Public Library Funding and Technology Access Study (PLFTAS) report:

PLFTAS_FigB1_420

Source: Hoffman, J. et al. 2012, Libraries Connect Communities: Public Library
Funding & Technology Study 2011-2012
, 11.   Click to see larger image.

The highlighted percentage for 2009-2010 is wrong. It is impossible for public libraries nationwide to have, on average, lost 42% of their funding in a single year.   [Read more...]

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1   Desrosières, A. 1998. The Politics of Large Numbers: A History of Statistical Reasoning. Cambridge MA: Harvard University Press. See chapters 2 & 3.

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I Think That I Shall Never See…

This post is about a much discussed question: How did the Great Recession affect U.S. public libraries? I’m not really going to answer the question, as that would amount to a lengthy journal article or two. But I am going to suggest a way to approach the question using data from the Institute of Museum and Library Services (IMLS) Public Libraries in the United States Survey. Plus I’ll be demonstrating a handy data visualization tool known as a trellis chart that you might want to consider for your own data analysis tasks. (Here are two example trellis charts in case you’re curious. They are explained further on.)

As for the recession question, in the library world most of the discussion has centered on pronouncements made by advocacy campaigns: Dramatic cuts in funding. Unprecedented increases in demand for services. Libraries between a rock and hard place. Doing more with less. And so forth.

Two things about these pronouncements make them great as soundbites but problematic as actual information. First, the pronouncements are based on the presumption that looking at the forest—or at the big picture, to mix metaphors—tells us what we need to know about the trees. But it does not…   [Read more...]

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Roughly Wrong

I decided to move right on to my first 2014 post without delay. The reason is the knot in my stomach that developed while viewing the Webjunction webinar on the University of Washington iSchool Impact Survey. The webinar, held last fall, presented a new survey tool designed for gathering data about how public library patrons make use of library technology and what benefits this use provides them.

Near the end of the webinar a participant asked whether the Impact Survey uses random sampling and whether results can be considered to be statistically representative. The presenter explained that the survey method is not statistically representative since it uses convenience sampling (a topic covered in my recent post). And she confirmed that the data only represent the respondents themselves. And that libraries will have no way of knowing whether the data provide an accurate description of their patrons or community.

Then she announced that this uncertainty and the whole topic of sampling were non-issues, saying, “It really doesn’t matter.” She urged attendees to set aside any worries they had about using data from unrepresentative samples…   [Read more...]

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Wasting Time Bigtime

We all know that the main function of libraries is to make information accessible in ways that satisfy user needs. Following Ranganathan’s Fourth Law of Library Science, library instructions guiding users to information must be clear and simple in order to save the user’s time. This is why library signage avoids exotic fonts, splashy decorations, and any embellishments that can muddle the intended message. Library service that wastes the user’s time is bad service.

So I am baffled by how lenient our profession is when it comes to muddled and unclear presentations of quantitative information in the form of data visualizations. We have yet to realize that the sorts of visualizations that are popular nowadays actually waste the user’s time—bigtime!  As appealing as these visualizations may be, from an informational standpoint they violate Ranganathan’s Fourth Law.

Consider the data visualization shown below from the American Library Association’s (ALA) Digital Inclusion study:

Digital Inclusion National Dashboard

ALA Digital Inclusion project national-level dashboard. Click to access original dashboard.

This visualization was designed to keep state data coordinators (staff at U.S. state libraries) informed. The coordinators were called upon…   [Read more...]

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Strength In Numbers

I want to tell you about a group of U.S. public libraries that are powerhouses when it comes to providing services to the American public. You might suppose that I’m referring to the nation’s large urban and county systems that serve the densest populations with large collections and budgets. These are the libraries you’d expect to dominate national library statistics. However, there’s a group of libraries with modest means serving moderate size communities that are the unsung heroes in public library service provision. These are libraries with operating expenditures ranging from $1 million to $4.9 million.1   Due to their critical mass combined with their numbers (there are 1,424 of them) these unassuming libraries pack a wallop in the service delivery arena.

Their statistical story is an interesting one. Let me introduce it to you by means of the patchwork graphic below containing 6 charts known as treemaps.

MeasMapsClrD_540

Click to view larger graphic.

From a data visualization standpoint treemaps (and pie charts also) have certain drawbacks that were identified in my prior post.2 Still, treemaps do have their place when used judiciously. And their novelty and color are refreshing. So, let’s go with them!
[Read more...]

 
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1   Based on the Public Libraries in the United States Survey, 2011, Institute of Museum and Library Services.
2   It was Willard Brinton who identified the problem in his 1914 book. In my prior post scroll down to the sepia graphic of squares arranged laterally. There you see Brinton’s words, “The eye cannot fit one square into another on an area basis so as to get the correct ratio.” Bingo. With treemaps this is even more problematic since a single quantity in the data can be represented by different-shaped but equivalent rectangles—stubby ones or more elongated ones. You’ll see in the examples that it is impossible to visually determine which of two similarly-sized rectangles is larger. This difficulty also applies to pie wedges.

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