Der Tucker-Lewis-Index TLI weist einen Wert von
The Tucker-Lewis Index TLI shows a value of
Literally: The Tucker-Lewis-Index TLI points a value of
In 15 Seconds
- Used to report statistical results in academic papers.
- Extremely formal and professional tone (C1 level).
- Requires the separable verb 'aufweisen' for grammatical completeness.
- Commonly used in psychology, sociology, and data science.
Meaning
This phrase is a professional way to report the 'Tucker-Lewis Index' (TLI) in a scientific study. It basically tells your audience how well your mathematical theory matches the real-world data you collected. If the number is high, your model is doing a great job; if it's low, you might need to go back to the drawing board.
Key Examples
3 of 10Writing the results section of a Master's thesis
Der Tucker-Lewis-Index TLI weist einen Wert von 0,96 auf.
The Tucker-Lewis-Index TLI shows a value of 0.96.
Presenting data in a university seminar
Wie Sie sehen können, weist der Tucker-Lewis-Index TLI einen Wert von 0,92 auf.
As you can see, the Tucker-Lewis-Index TLI shows a value of 0.92.
A PhD student celebrating on Academic Twitter (X)
Endlich! Mein Modell steht und der Tucker-Lewis-Index TLI weist einen Wert von 0,98 auf! 🚀
Finally! My model is ready and the Tucker-Lewis-Index TLI shows a value of 0.98! 🚀
Cultural Background
German universities emphasize 'Wissenschaftssprache', a specific register that avoids the first person ('I' or 'We') and uses formal verbs like 'aufweisen' to maintain objectivity. Many statistical terms like TLI are kept in English but integrated into German grammar, showing the influence of American psychometrics on German social sciences. In Swiss universities (e.g., ETH Zurich), precision in reporting is paramount. Using the exact canonical form is often a requirement for passing grades in methodology courses. Austrian academic writing tends to be slightly more traditional and formal than in northern Germany, making 'aufweisen' the undisputed choice over 'liegen bei'.
The 'Auf' Rule
Always check the end of your sentence. If you started with 'weist', you MUST end with 'auf' if you're using 'aufweisen'.
Decimal Commas
In German-only contexts, use a comma (0,95). In international journals, a period (0.95) is okay.
In 15 Seconds
- Used to report statistical results in academic papers.
- Extremely formal and professional tone (C1 level).
- Requires the separable verb 'aufweisen' for grammatical completeness.
- Commonly used in psychology, sociology, and data science.
What It Means
Your computer just finished running a complex Structural Equation Model (SEM) after three hours of spinning fans. You are looking at a screen full of numbers. One of those numbers is the Tucker-Lewis-Index, or TLI. This little number is like a quality inspector for your math. It compares your proposed model to a 'null model' that assumes nothing is related. Imagine you built a Lego castle. The TLI tells the world if your castle actually looks like a castle or just a pile of random bricks. In the world of German academia, we use this specific phrase to announce that verdict. It carries the weight of scientific authority. It’s not just a guess; it’s a calculated fit. When you say this, you are telling other researchers that your theory has been tested and measured. It’s the linguistic equivalent of a scientist in a white coat pointing to a very important chart.
How To Use It
You will almost exclusively find this phrase in the 'Results' section of a research paper. It follows a very rigid structure. You start with the subject: Der Tucker-Lewis-Index TLI. Always include the abbreviation TLI in parentheses or right after the name. Then comes the verb weist. This is a professional way to say 'shows' or 'exhibits.' It’s much more formal than simply saying hat (has). After the verb, you add einen Wert von. This sets the stage for the number. In German, we use a comma for decimals instead of a point. So, a TLI of 0.95 becomes 0,95. Usually, you don't stop there. Most writers end the sentence with the word auf. This completes the separable verb aufweisen. Without the auf, the sentence feels like a cliffhanger in a bad soap opera. Everyone is waiting for the resolution! Use it when you want to sound like a serious researcher who knows their way around a spreadsheet.
Formality & Register
This phrase is as formal as a tuxedo at a gala. You would never use it while texting your mom about what's for dinner. It belongs in the world of 'Bildungssprache' (educational/academic language). It’s the language of journals, theses, and high-level technical reports. If you use this in a casual conversation at a bar, your friends might check if you’re having a statistical stroke. However, in a job interview for a data science position, it’s pure gold. It shows you understand the nuances of reporting results. It’s a 'C1' level phrase because it requires precision. You aren't just communicating an idea; you are following a strict professional code. It's like the difference between saying 'The car is fast' and 'The vehicle exhibits a high velocity.' Both are true, but one gets you a PhD.
Real-Life Examples
Imagine you are writing your Master's thesis in Psychology. You just found out your model for 'happiness' is actually accurate. You type: Der Tucker-Lewis-Index TLI weist einen Wert von 0,97 auf. Your professor nods in approval. Or maybe you are presenting at a Zoom conference. Your slide shows a path diagram. You say the phrase out loud to guide your audience through the statistics. In a peer-review comment, a researcher might write: Der berichtete Tucker-Lewis-Index TLI weist einen Wert von lediglich 0,82 auf, was auf eine unzureichende Modellpassung hindeutet. That’s a polite academic way of saying 'Your math is a bit messy, friend.' You might even see it in a LinkedIn post from a data analyst showing off their latest project results. Even in a world of AI and quick summaries, this level of precision remains the standard for trust.
When To Use It
Use this phrase when you are writing a formal report or a thesis. It is perfect for the 'Methodology' or 'Results' chapters. If you are defending your dissertation, this is your bread and butter. It’s also great for professional emails to a research team. Use it when you want to be 100% clear about a specific statistical metric. It is also common in textbooks that explain how to perform factor analysis. If you are translating a study from English to German, this is the standard 'mapping' for 'The TLI shows a value of.' It’s the safe, correct, and expected choice. Think of it as the 'default' setting for reporting fit indices in German social sciences. It’s like using a specific fork for salad—it shows you know the etiquette.
When NOT To Use It
Never use this phrase in a casual WhatsApp group. 'Hey guys, my mood today weist einen Wert von 0,95 auf' will just get you weird emojis. Also, don't use it for things that aren't statistical indices. You wouldn't say 'The pizza weist einen Wert von extra cheese auf.' That’s just being a robot. Avoid it in creative writing or fiction unless your character is a very dry scientist. Also, if you aren't 100% sure what the TLI actually measures, don't throw the phrase around. Statisticians can smell fear (and incorrect reporting) from a mile away. It’s a tool for precision, not for sounding 'smart' without substance. If the context is informal, just say Der TLI liegt bei 0,95 (The TLI is at 0.95). It’s shorter and less stuffy.
Common Mistakes
The most common error is forgetting the 'auf' at the very end of the sentence. In German, aufweisen is a separable verb. If you leave the auf out, the sentence is technically naked. ✗ Der TLI weist einen Wert von 0,90. → ✓ Der TLI weist einen Wert von 0,90 auf. Another mistake is using the wrong article. It is Der Index, so it must be Der Tucker-Lewis-Index. Using Das or Die will make a grammarian cry. Some people also forget the 'n' in einen. Because it's accusative, it has to be einen Wert. ✗ weist ein Wert von is a classic learner trap. Finally, don't confuse TLI with other indices like CFI. Reporting the wrong number with a very confident phrase is a recipe for a retracted paper. Double-check your SPSS or R output before you hit 'save'!
Common Variations
While the main phrase is the gold standard, you might see some cousins. Der TLI liegt bei... (The TLI lies at...) is a bit more relaxed but still professional. You can also say Der TLI beläuft sich auf... (The TLI amounts to...). This sounds very 'accountant-ish' and precise. Another variation is Das Modell zeigt einen TLI von... (The model shows a TLI of...). This shifts the focus from the index to the model itself. In very brief reports, you might just see TLI = 0,95. But if you are writing full sentences, stick to weist... auf. It’s the most elegant way to handle the grammar. Some authors might use beträgt (is/amounts to). Der TLI beträgt 0,95. This is also very common and slightly shorter. Choose the one that fits the rhythm of your paragraph.
Real Conversations
Student
Wie beschreibe ich die Modellanpassung in meiner Arbeit? (How do I describe the model fit in my thesis?)Tutor
Ganz einfach. Du schreibst: Der Tucker-Lewis-Index TLI weist einen Wert von 0,95 auf. (Quite simple. You write: The TLI shows a value of 0.95.)Student
Muss das 'auf' am Ende wirklich sein? (Does the 'auf' at the end really have to be there?)Tutor
Ja, unbedingt! Ohne das 'auf' ist der Satz grammatikalisch nicht abgeschlossen. (Yes, absolutely! Without the 'auf', the sentence isn't grammatically closed.)Professor
Ihre Ergebnisse sind beeindruckend. Der TLI weist einen hervorragenden Wert auf. (Your results are impressive. The TLI shows an excellent value.)Colleague
Hast du die neuen Zahlen? (Do you have the new numbers?)Researcher
Ja, der Tucker-Lewis-Index TLI weist einen Wert von 0,92 auf. Wir können zufrieden sein. (Yes, the TLI shows a value of 0.92. We can be satisfied.)Quick FAQ
Is the TLI the same as the CFI? No, they are related but calculated differently. They often appear together in reports. Can the TLI be over 1.0? Yes, unlike the CFI, the TLI is 'non-normed,' so it can occasionally pop above 1.0. What is a 'good' value? Usually, anything over 0.90 is okay, but 0.95 is the goal for a 'good' fit. Why is it called 'Tucker-Lewis'? It was named after the researchers Ledyard Tucker and Charles Lewis who developed it in 1973. Do I always need the abbreviation? It’s highly recommended for clarity, especially in long papers. Is weist... auf better than ist? Yes, in academic writing, ist is considered a bit too simple or 'lazy.' Aufweisen shows a higher level of German proficiency. Does this phrase work for all indices? Yes, you can swap TLI for CFI or NFI and the grammar stays the same.
Usage Notes
This phrase is strictly for academic and professional reporting. Ensure you use a comma for decimals (0,95) and never forget the 'auf' at the end of the sentence to complete the separable verb 'aufweisen'.
The 'Auf' Rule
Always check the end of your sentence. If you started with 'weist', you MUST end with 'auf' if you're using 'aufweisen'.
Decimal Commas
In German-only contexts, use a comma (0,95). In international journals, a period (0.95) is okay.
Sounding Like a Pro
Using 'aufweisen' makes you sound like a serious researcher. 'Haben' makes you sound like a student.
Examples
10Der Tucker-Lewis-Index TLI weist einen Wert von 0,96 auf.
The Tucker-Lewis-Index TLI shows a value of 0.96.
This is the most standard, correct way to report the result in a formal paper.
Wie Sie sehen können, weist der Tucker-Lewis-Index TLI einen Wert von 0,92 auf.
As you can see, the Tucker-Lewis-Index TLI shows a value of 0.92.
A slightly modified version used to guide an audience during a presentation.
Endlich! Mein Modell steht und der Tucker-Lewis-Index TLI weist einen Wert von 0,98 auf! 🚀
Finally! My model is ready and the Tucker-Lewis-Index TLI shows a value of 0.98! 🚀
Mixing a formal phrase with an informal context to show relief and success.
Ich habe die Analyse wiederholt, und der TLI weist jetzt einen Wert von 0,94 auf.
I repeated the analysis, and the TLI now shows a value of 0.94.
Using the abbreviation for a slightly quicker but still professional exchange.
Der Tucker-Lewis-Index TLI weist lediglich einen Wert von 0,85 auf, was kritisch ist.
The Tucker-Lewis-Index TLI shows only a value of 0.85, which is critical.
Using 'lediglich' (merely) to highlight a disappointing statistical result.
In der ersten Stichprobe weist der Tucker-Lewis-Index TLI einen Wert von 0,91 auf.
In the first sample, the Tucker-Lewis-Index TLI shows a value of 0.91.
Clear, concise, and respectful reporting of data.
In diesem Beispiel weist der Tucker-Lewis-Index TLI einen Wert von genau 1,00 auf.
In this example, the Tucker-Lewis-Index TLI shows a value of exactly 1.00.
Using 'genau' (exactly) to emphasize a perfect model fit.
✗ Der Tucker-Lewis-Index TLI weist einen Wert von 0,95. → ✓ Der Tucker-Lewis-Index TLI weist einen Wert von 0,95 auf.
The TLI shows a value of 0.95.
Without 'auf', the sentence is grammatically incomplete because the verb is 'aufweisen'.
✗ Der TLI weist ein Wert von 0,90 auf. → ✓ Der TLI weist einen Wert von 0,90 auf.
The TLI shows a value of 0.90.
'Wert' is masculine and is the object here, so it must be 'einen Wert'.
Mein Kaffee weist einen Wert von 0,00 auf, genau wie mein TLI heute Morgen.
My coffee shows a value of 0.00, just like my TLI this morning.
A joke among scientists using formal language for a trivial/sad situation.
Test Yourself
Füllen Sie die Lücke mit dem richtigen Verbteil aus.
Der Tucker-Lewis-Index TLI weist einen Wert von 0,95 ___.
Das Verb 'aufweisen' ist trennbar. Der Präfix 'auf' steht am Ende des Satzes.
Welcher Artikel ist korrekt für 'Index'?
___ Tucker-Lewis-Index TLI weist einen Wert von 0,95 auf.
'Index' ist ein maskulines Nomen im Nominativ.
In welcher Situation ist dieser Satz am besten geeignet?
Satz: 'Der Tucker-Lewis-Index TLI weist einen Wert von 0,95 auf.'
Dies ist eine hochformale statistische Berichtsform.
Vervollständigen Sie den Dialog.
Professor: 'Wie hoch ist die Modellgüte?' Student: 'Gut, der Tucker-Lewis-Index TLI weist einen ___ von 0,98 auf.'
In der Statistik spricht man von einem 'Wert' (value).
🎉 Score: /4
Visual Learning Aids
Practice Bank
4 exercisesDer Tucker-Lewis-Index TLI weist einen Wert von 0,95 ___.
Das Verb 'aufweisen' ist trennbar. Der Präfix 'auf' steht am Ende des Satzes.
___ Tucker-Lewis-Index TLI weist einen Wert von 0,95 auf.
'Index' ist ein maskulines Nomen im Nominativ.
Satz: 'Der Tucker-Lewis-Index TLI weist einen Wert von 0,95 auf.'
Dies ist eine hochformale statistische Berichtsform.
Professor: 'Wie hoch ist die Modellgüte?' Student: 'Gut, der Tucker-Lewis-Index TLI weist einen ___ von 0,98 auf.'
In der Statistik spricht man von einem 'Wert' (value).
🎉 Score: /4
Video Tutorials
Find video tutorials on YouTube for this phrase.
Frequently Asked Questions
10 questionsYes, but it's less formal. 'Zeigt einen Wert von' is acceptable in presentations but 'weist ... auf' is better for writing.
It is masculine because 'Index' is masculine ({der|m} Index).
You say: 'Der TLI weist einen Wert von 1,00 auf.'
No, it can also be used for qualities, e.g., 'Das Modell weist Mängel auf' (The model has flaws).
It's named after the statisticians Ledyard Tucker and Charles Lewis who proposed it in 1973.
Usually, you introduce it once with both, then just use 'TLI' for the rest of the paper.
In German academia, a TLI > 0.95 is usually considered 'gut' or 'exzellent'.
In casual speech, yes. In a thesis, it's too simple.
Yes, it conjugates like 'weisen' (weist, wies, hat gewiesen).
Yes, when used in this sense of 'exhibiting' a value.
Related Phrases
Der Comparative-Fit-Index CFI liegt bei
similarThe CFI is at...
Die Modellgüte ist unzureichend
contrastThe model fit is insufficient.
Statistisch signifikant
builds onStatistically significant.
Die Anpassungsgüte aufweisen
specialized formTo exhibit the fit quality.